Multi-mode coupler for enhanced connectivity

Abstract

Techniques and couplers for managing coupling between qubits are presented. A first tunable coupler qubit (TCQ) may include a first frequency mode and a second frequency mode. The second TCQ may include a third frequency mode and a fourth frequency mode. The first TCQ may be selectively coupled to a first qubit based on a first frequency pattern and selectively coupled to a second TCQ based on a second frequency pattern and a third frequency pattern. The second TCQ may be selectively coupled to a second qubit based on a fourth frequency pattern. When certain corresponding magnetic fluxes are applied to the first TCQ and the second TCQ, ZZ interaction between the first qubit and the second qubit can be suppressed. When respective modified magnetic fluxes are applied to the first TCQ and the second TCQ to excite respective frequency patterns, coupling may occur, and ZZ interaction and entanglement gating may be created between the first qubit and the second qubit.

Description

Background Art

[0001] The subject disclosure relates to quantum circuit devices, and more particularly, to multi-mode couplers for enhanced connectivity. Summary of the invention

[0002] The following presents a summary of the invention for providing a basic understanding of one or more embodiments of the disclosed subject matter. The summary is not intended to identify key or important elements, or to delineate any scope of a particular embodiment or any scope of the claims. Its sole purpose is to present concepts in a simplified form as a preface to a more detailed description presented later. In one or more embodiments described herein, systems, devices, structures, methods, apparatuses, and / or computer program products are presented that can facilitate the creation and / or utilization of a tunable multimode coupler that can manage interactions and couplings between quantum components (such as qubits).

[0003] According to an embodiment, a system may include a first quantum component. The system may also include a first coupler qubit, which may be operable in a first mode associated with a first frequency and a second mode associated with a second frequency. The first coupler qubit may be selectively coupled to the first quantum component based on the first mode. The first coupler qubit may be selectively coupled to the second coupler qubit based on the second mode and based on a third mode operable on the second coupler qubit. The third mode may be associated with a third frequency. An advantage of the system may be that the system may have enhanced (e.g., increased, improved, or optimized) efficiency, reliability, and performance associated with interactions or couplings between quantum components (e.g., qubits or other quantum components).

[0004] In one or more embodiments of the system indicated above, the first coupler qubit may include a Josephson junction and a superconducting quantum interference device associated with the Josephson junction, wherein the superconducting quantum interference device may be flux tunable. In one or more embodiments, based on the first coupler qubit being selectively coupled to a first quantum component that may be a first qubit via the first mode, the first coupler qubit being selectively coupled to a second coupler qubit via the second mode and the third mode, and the second coupler qubit being selectively coupled to a second qubit via the fourth mode, ZZ interactions and static ZZ interactions between the first qubit and the second qubit may be suppressed, and exchange interactions between the first qubit and the second qubit may be suppressed for a frequency-defined range associated with the first qubit and the second qubit.

[0005] In one or more embodiments of the system indicated above, the system may include a coplanar waveguide resonator, which may include a first port and a second port, wherein a first plate of a first capacitor component may be connected to the first coupler qubit, a second plate of the first capacitor component may be connected to the first port, a third plate of a second capacitor component may be connected to the second port, and a fourth plate of the second capacitor component may be connected to the second coupler qubit. In one or more embodiments of the system indicated above, the system may include a third coupler qubit, a set of capacitor components that may include a first capacitor component, a second capacitor component, and a third capacitor component, and a bus component that may be associated with the set of capacitor components, wherein the first coupler qubit may be associated with the first capacitor component, the second coupler qubit may be associated with the second capacitor component, and the third coupler qubit may be associated with the third capacitor component.

[0006] Advantages of the system may include that the system may enhance (e.g., increase, improve, or optimize) connectivity between quantum components (e.g., qubits or other quantum components), may enhance the layout of electronic elements or quantum components of a quantum circuit device, and may enhance the management of interactions or couplings between quantum components, which may include enhanced mitigation or suppression of undesired interactions, couplings, and entanglement between quantum components.

[0007] In some embodiments, the elements described in conjunction with the disclosed system may be embodied in a different form, such as an apparatus, a method, or another form.

[0008] These and other features will become apparent from the following detailed description of illustrative embodiments of the invention, which is to be read in connection with the accompanying drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0009] Figure 1 A block diagram is shown of an example non-limiting system that can include a pair of coupler components that can manage interaction or coupling between quantum components in accordance with various aspects and embodiments of the disclosed subject matter.

[0010] Figure 2 Block diagram depicting example non-limiting pattern structures for patterns of coupler components in accordance with various aspects and embodiments of the disclosed subject matter.

[0011] Figure 3 Schematic diagram of an example non-limiting system that can include a pair of tunable coupler components that can manage interaction or coupling between qubits in accordance with various aspects and embodiments of the disclosed subject matter.

[0012] Figure 4 A schematic diagram depicting an example non-limiting device layout 400 of a system that can include a pair of tunable coupler components that can manage interactions or couplings between qubits in accordance with various aspects and embodiments of the disclosed subject matter.

[0013] Figure 5 Example non-limiting graphs are presented that illustrate magnetic field tuning for ZZ interactions for a system that can include a pair of coupler components that can manage interactions or couplings between qubits in accordance with various aspects and embodiments of the disclosed subject matter.

[0014] Figure 6 A schematic diagram of an example non-limiting system in accordance with various aspects and embodiments of the disclosed subject matter is shown that can couple multiple (e.g., four or more) coupler components via capacitive or coplanar waveguide (CPW) resonator bus components to provide enhanced connectivity between qubits and facilitate managing interactions or couplings between qubits.

[0015] Figure 7 Example non-limiting graphs are presented that illustrate interactions between two tunable coupler qubits (TCQs) associated with respective TCQs associated with a node when one of the TCQs is flux tuned to transition the TCQ to an on state and the other TCQ is maintained in an off state in accordance with various aspects and embodiments of the disclosed subject matter.

[0016] Figure 8 A schematic diagram of an example non-limiting system in accordance with various aspects and embodiments of the disclosed subject matter is shown, which example non-limiting system can include qubits and associated TCQs that can be associated with corresponding bus components to form a square lattice to provide enhanced connectivity between qubits and facilitate managing interactions or couplings between qubits.

[0017] Fig. 9 Depicted is a schematic diagram of an example non-limiting system in accordance with various aspects and embodiments of the disclosed subject matter that may include quadrupole transport qubits (QTQs) and associated TCQs that may be associated with respective bus components to form a square lattice to provide enhanced connectivity between such qubits and facilitate managing interactions or couplings between such qubits.

[0018] Fig.10A schematic diagram of another example non-limiting system in accordance with various aspects and embodiments of the disclosed subject matter is shown, which example non-limiting system may include QTQs and associated TCQs that may be associated with respective bus components to form a square lattice, thereby providing enhanced connectivity between such QTQs and facilitating management of interactions or couplings between such QTQs.

[0019] Fig.11 Depicted is a block diagram of an example non-limiting system that can employ CPW resonator(s) that can enable remote (e.g., long distance) coupling between TCQs and / or between TCQs and bus components in accordance with various aspects and embodiments of the disclosed subject matter.

[0020] Fig.12 A block diagram of an example non-limiting system that can employ CPW resonators that can enable remote coupling between TCQs across multiple dies in accordance with various aspects and embodiments of the disclosed subject matter is shown.

[0021] Fig.13 Schematic diagrams of example graphs related to long-range coupling of qubits associated with a TCQ connected via a CPW resonator are presented in accordance with various aspects and embodiments of the disclosed subject matter.

[0022] Fig.14 Depicted is a block diagram of an example system that can be used to create, form, or design a device including qubits, coupler components, and / or other quantum components, elements, or circuitry in accordance with various aspects and embodiments of the disclosed subject matter.

[0023] Fig.15 A flow chart is shown of an example non-limiting method that can employ TCQ pairs to control interaction, coupling, or gating between components of a quantum circuit in accordance with various aspects and embodiments of the disclosed subject matter.

[0024] Fig.16 Depicted is a flow chart of another example non-limiting method that can employ a coupler component pair to control interaction, coupling, or gating between components of a quantum circuit in accordance with various aspects and embodiments of the disclosed subject matter.

[0025] Fig.17 A block diagram is shown of an example non-limiting operating environment in which one or more embodiments described herein may be facilitated. DETAILED DESCRIPTION

[0026] The following detailed description is illustrative only and is not intended to limit the embodiments and / or the application or uses of the embodiments. In addition, this is not intended to be bound by any express or implied information presented in the previous background or summary or detailed description.

[0027] One or more embodiments are now described with reference to the accompanying drawings, wherein the same reference numerals are used to refer to the same elements throughout. In the following description, for the purpose of explanation, many specific details are set forth in order to provide a more thorough understanding of one or more embodiments. However, in various cases, it is apparent that the one or more embodiments described can be practiced without these specific details.

[0028] A quantum computer may include a set of qubits that can perform quantum operations on data. In a quantum circuit including qubits, a coupler may be used to enable qubit-to-qubit interaction or coupling between a pair of qubits to create quantum logic gates. Couplers may also be used to enable interaction or coupling between other types of electronic components in a quantum circuit.

[0029] With respect to interaction, coupling, and gating, in order to facilitate the description of various aspects and embodiments of the disclosed subject matter, definitions and / or context that may be relevant to the disclosed subject matter may be provided below. Entanglement gating may include operations in which an external field (e.g., a microwave pulse) may be applied to a quantum processor including qubits to create an entangled state between two or more individual qubits. Controlled phase (CPHASE) gating may be a specific type of entanglement gating in which a qubit may obtain a phase shift if and only if both qubits are in their first excited state.

[0030] A ZZ interaction can be an interaction between two qubits or modes, in which the excitation of one qubit can cause a shift in the transition frequency of another qubit or mode. Therefore, a ZZ interaction can represent a way to entangle two different qubits and create CPHASE gating, because a state-dependent shift in the qubit frequency can be made equivalent to a state-dependent phase shift. A ZZ interaction can sometimes be referred to as longitudinal coupling or can be represented as χ or 2-χ. A static ZZ interaction can be a ZZ interaction that can exist between two qubits or modes without any external microwave drive (e.g., microwave pulses). A static ZZ interaction can be an "always on" interaction that may be undesirable (e.g., undesirable) and harmful to the qubit system by suppressing independent control of each qubit and by creating undesirable entanglement.

[0031] An exchange interaction can be an interaction between quantum systems that allows energy to be exchanged. If there is a microwave pulse between two qubits, applying it to one qubit may excite the other qubit, and thus this interaction can be an undesirable form of crosstalk that can be harmful to the quantum system.

[0032] With some existing quantum circuits and couplers, there can be an always-on interaction, such as a static ZZ interaction, between two qubits or modes even in the absence of any external microwave drive. Such an always-on interaction can be undesirable and detrimental to a qubit system because it can inhibit independent control of each qubit and can create undesirable (e.g., unwanted) entanglement between qubits.

[0033] It may be desirable to enhance (e.g., increase, improve, or optimize) the efficiency, reliability, and performance of coupler components, enhance connectivity between qubits (or other quantum components), and enhance the layout of electronic components of quantum circuit devices. It may also be desirable to enhance the management of interactions and couplings between qubits (or other quantum components), including mitigating or suppressing undesired interactions, couplings, and entanglement between qubits (or other quantum components).

[0034] The disclosed subject matter includes coupler components and techniques that can have numerous advantages and overcome various deficiencies of existing couplers and coupling techniques. Compared to existing couplers and techniques, the disclosed coupler components and techniques for qubit coupling can have enhanced (e.g., increased, improved, or optimized) efficiency, reliability, and performance, can enhance connectivity between qubits (or other quantum components), can enhance the layout of electronic components of quantum circuit devices, can enhance the management of interactions and couplings between qubits, including mitigation or suppression of unwanted interactions, couplings, and enhanced entanglement between qubits (or other quantum components).

[0035] To this end, various embodiments described herein relate to techniques for managing coupling between qubits. In some embodiments, tunable multi-mode couplers can be operated in pairs, which can provide enhanced (e.g., improved) connectivity and remote interaction between qubits (e.g., fixed frequency transmission qubits) or other types of quantum components. A system or device may include a first tunable coupler qubit (TCQ), which may include a first mode (e.g., a first "A" mode) associated with a first frequency (e.g., a first oscillation mode) and a second mode (e.g., a first "B" mode) associated with a second frequency (e.g., a second oscillation mode). The TCQ may also be referred to as a TCQ coupler. The system or device may also include a second TCQ, which may include a third mode (e.g., a second "B" mode) associated with a third frequency and a fourth mode (e.g., a second "A" mode) associated with a fourth frequency. The first TCQ may be associated with (e.g., selectively connected or coupled to) a first quantum component (e.g., a qubit, a resonator, or other electronic component) and a second TCQ. The second TCQ may be associated with a second quantum component. The first TCQ and the second TCQ may be associated with (eg, selectively connected or coupled to) each other, for example, by direct capacitive coupling, by a bus component, or via a coplanar waveguide (CPW), such as described herein.

[0036] The respective frequencies associated with the respective modes may be the same as or different from each other. For example, a first frequency associated with a first mode (e.g., a first "A" mode) may be the same as or different from a fourth frequency associated with a fourth mode (e.g., a second "A" mode), and a second frequency associated with a second mode (e.g., a first "B" mode) may be the same as or different from a third frequency associated with a third mode (e.g., a second "B" mode).

[0037] The first TCQ can be selectively coupled to the first qubit based on the first frequency mode, and selectively coupled to the second TCQ based on the second frequency mode and the third frequency mode. The second TCQ can be selectively coupled to the second qubit based on the fourth frequency mode. For example, when certain corresponding magnetic fluxes are applied to the first TCQ (e.g., a flux tunable SQUID of the first TCQ) and the second TCQ (e.g., a flux tunable SQUID of the second TCQ), this can produce a desired balance between the corresponding modes of the corresponding TCQs, and the interaction and coupling between the first qubit and the second qubit can be desirably suppressed. For example, based on the mode selective coupling (e.g., using multiple pairs of TCQs, such as the first TCQ and the second TCQ), the ZZ interaction or coupling (including static ZZ interaction) between the first qubit and the second qubit can be desirably suppressed, and the exchange interaction between the first qubit and the second qubit can be desirably suppressed for a wide range of qubit frequencies between these qubits.

[0038] The first TCQ can be selectively coupled to the first qubit based on the first frequency mode, and selectively coupled to the second TCQ based on the second frequency mode and the third frequency mode. The second TCQ can be selectively coupled to the second qubit based on the fourth frequency mode. For example, when certain corresponding magnetic fluxes are applied to the first TCQ (e.g., a flux tunable SQUID of the first TCQ) and the second TCQ (e.g., a flux tunable SQUID of the second TCQ), this can produce a desired balance between the corresponding modes of the corresponding TCQs, and the interaction and coupling between the first qubit and the second qubit can be desirably suppressed. For example, based on the mode selective coupling (e.g., using multiple pairs of TCQs, such as the first TCQ and the second TCQ), the ZZ interaction or coupling (including static ZZ interaction) between the first qubit and the second qubit can be desirably suppressed, and the exchange interaction between the first qubit and the second qubit can be desirably suppressed for a wide range of qubit frequencies between these qubits.

[0039] When respective modified magnetic fluxes are applied to the first TCQ and the second TCQ to desirably adjust the tuning of the respective TCQs (e.g., to adjust the tuning of the respective SQUIDs of the respective TCQs), this can cause respective imbalances to occur in the first TCQ and the second TCQ (e.g., such as described herein), which can excite respective modes of the first TCQ and the second TCQ, and thus, a desired coupling can be created, wherein ZZ interaction, entangled interaction and gating, and / or controlled phase (CPHASE) gating can be created between the first qubit and the second qubit via interactions (e.g., couplings) between TCQ pairs, interactions between the first qubit and the first TCQ, and interactions between the second qubit and the second TCQ. Coupling can be defined as an interaction between two systems (e.g., between a first system comprising a first qubit and / or a first TCQ and a second system comprising a second qubit and / or a second TCQ) that is strong enough to create multi-qubit gating (e.g., between two qubits) and / or a desired exchange of information or energy between two electronic components (e.g., electronic components, which can be qubits, resonators, or other desired electronic components or components).

[0040] In some embodiments, four or more TCQs (e.g., a first TCQ, a second TCQ, and other TCQ couplers) can be coupled (e.g., selectively coupled) together via a capacitive and / or CPW resonator bus, such as described herein. With respect to using CPW resonators to couple the TCQs together, the CPW resonators can use bump bonding to achieve desired long-range coupling of TCQs across the same integrated circuit (IC) chip (e.g., the same qubit chip or the same die), or between or across multiple IC chips.

[0041] In certain embodiments, the qubits may be quadruple transport qubits, which may be associated with (e.g., selectively coupled to) TCQs, respectively. The quadruple transport qubits and TCQs may be arranged in a desired dense square lattice, which may achieve desired (e.g., enhanced, improved, or optimized) connectivity and selectivity between the quadruple transport qubits. The quadruple transport qubits may be associated with (e.g., selectively coupled to) a desired number of TCQs (e.g., four TCQs, or more or less than four TCQs), such as described herein.

[0042] These and other aspects and embodiments of the disclosed subject matter will now be described with reference to the figures.

[0043] Figure 1A block diagram of an example non-limiting system 100 is shown, which may include a pair of coupler components that may manage interactions or couplings between quantum components (e.g., qubits, resonators, or other electronic components or elements) in accordance with various aspects and embodiments of the disclosed subject matter. System 100 may include various components and circuit devices (e.g., quantum components and circuit devices) that may be arranged to perform one or more desired functions, such as described herein. System 100 may include, for example, a multi-qubit device or package that may have dimensions that may vary (e.g., an integrated circuit (IC) chip on which system 100 may reside may have dimensions), wherein the length of the device or package may range, for example, from the order of millimeters to the order of tens of millimeters, the width of the device or package may range, for example, from the order of millimeters to the order of tens of millimeters, and the thickness may range, for example, from about 1 millimeter (mm) to about 3 mm. It will be understood and appreciated that these dimensions of the device or package are exemplary, and that according to other embodiments, the device or package may have dimensions that are different (e.g., smaller or larger) than the example dimensions described herein.

[0044] In some embodiments, the system 100 may include a first quantum component (QC1) 102 and a second quantum component (QC2) 104 that may be formed as part of a quantum circuit that may be formed on one or more chip stacks formed on one or more dies (e.g., IC chips). The first quantum component 102 and the second quantum component 104 may be part of a set of quantum components of a quantum computer (e.g., a superconducting quantum computer). In some embodiments, the first quantum component 102 and the second quantum component 104 may be a transmission qubit or a quadrupole transmission qubit, but in other embodiments, the first quantum component 102 and the second quantum component 104 may be different types of qubits. A qubit may include, for example, one or more Josephson junctions (JJ) and a bypass capacitor that may be associated with the one or more Josephson junctions. In some embodiments, the first quantum component 102 and / or the second quantum component 104 may be different types of quantum components, such as resonators or other types of electronic components that may be employed in a quantum circuit.

[0045] It may be desirable (e.g., desired, required, or appropriate) to manage (e.g., control) the interaction, coupling, and / or gating between quantum components (e.g., quantum component 102 and second quantum component 104). According to various embodiments, system 100 may include a coupler component pair (e.g., TCQ pair), including coupler components (CC) 106 and CC 108, which may enable and manage the interaction and coupling between first quantum component 102 and second quantum component 104. CC 106 and CC 108 may be located between first quantum component 102 and second quantum component 104 in a quantum circuit (e.g., logically or physically between them). One end of CC 106 may be associated with (e.g., directly or indirectly connected or coupled to) first quantum component 102, and the other end of CC 106 may be associated with (e.g., directly or indirectly connected or coupled to) one end of CC 108. The other end of CC 108 may be associated with (e.g., directly or indirectly connected or coupled to) second quantum component 104. CC 106 and CC 108 may control and implement quantum component to quantum component (e.g., qubit to qubit) interactions (e.g., interactions between first quantum component 102 and second quantum component 104), which may allow quantum logic gating or other desired types of interactions. In some embodiments, quantum component 102 and quantum component 104 may be coupled to CC 106 and CC 108, respectively, using coupling capacitors, and / or CC 106 and CC 108 may be coupled to each other using coupling capacitors, such as described more fully herein.

[0046] According to various embodiments, CC 106 and CC 108 may each be a TCQ (e.g., a flux-tunable TCQ). For example, CC 106 and CC 108 may be TCQs that may cause desirable tuning (e.g., modification, adjustment, or change) of one or more parameters (e.g., frequency or another desired parameter) associated with CC 106 and CC 108 based on magnetic flux applied to CC 106 and CC 108, respectively, such as described more fully herein.

[0047] CC 106 may include JJ 110 and SQUID 112 (e.g., a flux-tunable SQUID), where SQUID 112 may include JJ 114 and JJ 116. CC 106 may also include capacitor (C) 118, which may be a bypass capacitor that may be associated with JJ 110 and SQUID 112, capacitor 120 that may be associated with JJ 110, and capacitor 122 that may be associated with SQUID 112. CC 108 may include JJ 124 and SQUID 126 (e.g., a flux-tunable SQUID), where SQUID 126 may include JJ 128 and JJ 130. CC 108 may also include a bypass capacitor 132 that may be associated with JJ 124 and SQUID 126 , a capacitor 134 that may be associated with JJ 124 , and a capacitor 136 that may be associated with SQUID 126 .

[0048] In CC 106, JJ 110 and SQUID 112 can be structured, designed and / or arranged relative to each other in a quantum circuit so that multiple oscillation modes can be created, where the multiple modes can include a first oscillation mode (e.g., "A" mode) 138 and a second oscillation mode (e.g., "B" mode) 140. The first oscillation mode 138 can be associated with a first frequency, and the second oscillation mode 140 can be associated with a second frequency. The second frequency associated with the second mode 140 can generally be higher than the first frequency associated with the first mode 138. The second mode 140 can also be referred to as a dark mode because it generally may not have a net dipole moment. The first mode 138 and the second mode 140 can be two different modes, which can correspond to symmetric and antisymmetric combinations of excitations associated with JJ 110 and SQUID 112.

[0049] Similarly, in CC 108, JJ 124 and SQUID 126 can be structured, designed and / or arranged relative to each other in a quantum circuit so that multiple oscillation modes can be created, where the multiple modes can include a third oscillation mode (e.g., another "B" mode) 142 and a fourth oscillation mode (e.g., another "A" mode) 144. The third mode 142 can be associated with a third frequency, which can be different from or the same as the second frequency associated with the second mode 140. The fourth mode 144 can be associated with a fourth frequency, which can be different from or the same as the first frequency associated with the first mode 138. The third frequency associated with the third mode 142 can generally be higher than the fourth frequency associated with the fourth mode 144. The third mode 142 can also be referred to as a dark mode because it generally may not have a net dipole moment. The third mode 142 and the fourth mode 144 can be two different modes, which can correspond to symmetric and antisymmetric combinations of excitations associated with JJ 124 and SQUID 126.

[0050] Briefly refer to Figure 2 (Together with Figure 1 ), Figure 2 A block diagram of an example non-limiting mode structure 200 of modes of CCs (e.g., CC 106, CC 108) is depicted in accordance with various aspects and embodiments of the disclosed subject matter. Mode structure 200 may include an "A" mode structure 202 for an "A" mode (e.g., first mode 138) of CC 106 and a "B" mode structure 204 for a "B" mode (e.g., second mode 140).

[0051] The JJ 110 and SQUID 112 (e.g., flux-tunable TCQ) of CC 106 may be associated with (e.g., connected to) corresponding capacitor pads (e.g., capacitor plates) of CC 106, such as capacitor pads 206, pads 208, and pads 210. As shown in the "A" mode structure 202, in the "A" mode of CC 106, charge may flow from capacitor pad 210 to capacitor pad 208 (as indicated at reference numeral 212), and charge may also flow from capacitor pad 208 to capacitor pad 206 in the same direction (as indicated at reference numeral 214). Therefore, no net charge is accumulated in capacitor pad 208, and this may be symmetric or antisymmetric, depending on how the direction of the charge is defined. As shown in “B” mode structure 204 , in the “B” mode of CC 106 , charge may flow from capacitor pad 208 to capacitor pad 206 and capacitor pad 210 (as indicated at reference numerals 216 and 218 , respectively).

[0052] Also refer to Figure 1In some embodiments, first quantum component 102 may be selectively coupled to CC 106 based on first mode 138 (e.g., first quantum component 102 may be selectively coupled to first (or "A") mode 138 of CC 106). Second quantum component 104 may be selectively coupled to CC 108 based on fourth mode 144 (e.g., second quantum component 104 may be selectively coupled to fourth (or other "A") mode 144 of CC 108). Additionally, CC 106 and CC 108 may be selectively coupled to each other based on second (or "B") mode 140 of CC 106 and third (or other "B") mode 142 of CC 108.

[0053] The pair of CC 106 and CC 108 may desirably (e.g., appropriately, enhanced, or optimally) manage interactions (e.g., ZZ interactions, static ZZ interactions, exchange interactions, or other interactions), couplings, and gating (e.g., ZZ gating, entanglement gating, CPHASE gating, or other gating) between the first quantum component 102 and the second quantum component 104 to facilitate desirably managing interactions and couplings between the first quantum component 102 and the second quantum component 104. Using the respective SQUIDs 112 and 126, the CC 106 and CC 108 may desirably be tuned to facilitate excitation or non-excitation of their respective modes (e.g., mode 138, mode 140, mode 142, mode 144), which may enable the CC 106 and CC 108 to manage interactions, couplings, and gating between the first quantum component 102 and the second quantum component 104.

[0054] To facilitate tuning CC 106 and CC 108, system 100 may include a coil assembly 146 that may be associated with and in the vicinity of CC 106 and a coil assembly 148 that may be associated with and in the vicinity of CC 108. Coil assembly 146 may be used to apply a desired magnetic field or magnetic flux to CC 106 (e.g., applied to SQUID 112 of CC 106) based on a current supplied to coil assembly 146. Coil assembly 148 may be used to apply a desired magnetic field or magnetic flux to CC 108 (e.g., applied to SQUID 126 of CC 108) based on a current supplied to coil assembly 148. The magnetic field created and applied by coil component 148 may be different from or the same as the magnetic flux created and applied by coil component 146, depending in part on the respective properties of or associated with the respective components (e.g., JJ, SQUID, or other components) of CC 106 and CC 108 (e.g., properties of the JJ's barrier, properties of the materials of the components, inductance, impedance, or other properties). Under certain magnetic fluxes applied to CC 106 and CC 108, the respective modes (e.g., mode 138, mode 140, mode 142, mode 144) may be maintained or transformed into a non-excited state, which may inhibit coupling between the first quantum component 102 and the second quantum component 104 of system 100 and / or inhibit interaction or coupling between the respective components (e.g., between the first quantum component 102 and CC 106, between CC 106 and CC 108, and / or between the second quantum component 104 and CC 108).

[0055] For example, the coil component 146 may apply a certain amount of magnetic flux to the SQUID 112 of the CC 106, which may induce a critical current of the SQUID 112 and thus make a first energy (e.g., a first Josephson energy) associated with the SQUID 112 equal to or at least substantially equal to a critical current of the JJ 110 of the CC 106 and thus induce a second energy (e.g., a second Josephson energy) associated with the JJ 110. In addition, the coil component 148 may apply a corresponding amount of magnetic flux to the SQUID 126 of the CC 108, which may induce a critical current of the SQUID 126 and thus make a third energy (e.g., a third Josephson energy) associated with the SQUID 126 equal to or at least substantially equal to a critical current of the JJ 124 of the CC 108 and thus induce a fourth energy (e.g., a fourth Josephson energy) associated with the JJ 124. Thus, there may be a balance of the first energy and the second energy associated with CC 106, and a balance of the third energy and the fourth energy associated with CC 108, which may provide and / or implement a desired mode selective coupling associated with CC 106 and CC 108, and thereby may cause or create a desired suppression (e.g., elimination) of an interaction or coupling (e.g., ZZ, static ZZ, and / or exchange interaction or coupling) between first quantum component 102 and second quantum component 104 to substantially or approximately zero interaction or coupling.

[0056] If the magnetic flux applied to CC 106 and CC 108 by coil component 146 and coil component 148 is modified (e.g., changed or adjusted) to a particular amount of respective magnetic flux to adjust the tuning of CC 106 and CC 108 (e.g., adjust the tuning associated with SQUID 112 and SQUID 126), the respective modes (e.g., mode 138, mode 140, mode 142, mode 144) may be transformed into an excited state, which may allow for a desired interaction or coupling between first quantum component 102 and second quantum component 104 (as well as interaction or coupling between other desired components).

[0057] For example, modifying the magnetic flux applied to the SQUID 112 of the CC 106 may create an imbalance between a first energy associated with the SQUID 112 (e.g., such first energy may be modified based on the modified magnetic flux) and a second energy of the JJ 110 of the CC 106. Such an imbalance may result in excitation of a mode of the CC 106 and may change a mode-selective coupling associated with the CC 106 such that the first quantum component 102 may have a desired interaction or coupling with both the first mode and the second mode of the CC 106. Similarly, modifying the magnetic flux applied to the SQUID 126 of the CC 108 may create an imbalance between a third energy associated with the SQUID 126 (e.g., such third energy may be modified based on the modified magnetic flux) and a fourth energy of the JJ 124 of the CC 108. This imbalance may result in excitation of a mode of CC 108 and may change the mode selective coupling associated with CC 108 such that second quantum component 104 may have a desired interaction or coupling with both the third mode and the fourth mode of CC 108. This change to the mode selective coupling associated with CC 106 and CC 108 may also create or allow a desired coupling between CC 106 and CC 108. Thus, the CC 106 and CC 108 pair that employs mode selective coupling may create a desired interaction, coupling, and / or gating (e.g., ZZ interaction or coupling, exchange interaction or coupling, exchange gating, and / or CPHASE gating) between first quantum component 102 and second quantum component 104 via CC 106 and CC 108.

[0058] It will be understood and appreciated that while in some embodiments CC 106 and CC 108 (e.g., TCQ) may include SQUIDs, in certain other embodiments, the CC (e.g., TCQ) may utilize a single tunable JJ (e.g., a single electrostatic voltage tunable JJ) in place of a SQUID in the CC (e.g., a SQUID including two JJs). Such a tunable JJ (e.g., a single electrostatic voltage tunable JJ) may adjust the tuning of the tunable JJ by applying a certain electrostatic voltage to the tunable JJ, for example, to facilitate tuning the CC to an on state (e.g., to achieve a desired interaction or coupling between quantum components) or an off state (e.g., to suppress, inhibit, minimize, or prevent an undesired interaction or coupling between quantum components). For example, there may be a conductive or capacitive pad or wire near the single tunable JJ, where a certain voltage may be applied to the conductive or capacitive pad or wire, which may cause the conductive or capacitive pad or wire to apply a certain electrostatic charge to the tunable JJ to adjust the tuning of the tunable JJ.

[0059] Go to Figure 3 , Figure 3 A schematic diagram of an example non-limiting system 300 is shown that can include a TCQ pair that can manage interactions or couplings between qubits in accordance with various aspects and embodiments of the disclosed subject matter. System 300 can include a first qubit 302 and a second qubit 304 that can be formed as part of a quantum circuit that can be formed on one or more chip stacks formed on one or more dies (e.g., an IC chip). In some embodiments, first qubit 302 and second qubit 304 can be transmission qubits, although in other embodiments, first qubit 302 and second qubit 304 can be different types of qubits. First qubit 302 can include JJ 306 and capacitor 308, which can be connected in parallel with JJ 306. Second qubit 304 can include JJ 310 and capacitor 312, which can be connected in parallel with JJ 310.

[0060] System 300 may also include a first TCQ 314 and a second TCQ 316. First qubit 302 may be associated with (e.g., coupled to) first TCQ 314 via coupling capacitor 318 and coupling capacitor 320. Second qubit 304 may be associated with (e.g., coupled to) second TCQ 316 via coupling capacitor 322 and coupling capacitor 324. First TCQ 314 may be associated with (e.g., coupled to) second TCQ 316 via coupling capacitor 326.

[0061] The first TCQ 314 may include a JJ 328 and a SQUID 330, which may be associated with (e.g., connected to) the JJ 328. The SQUID 330 may include a JJ 332 and a JJ 334, which may be connected in parallel with the JJ 332. The SQUID 330 may be formed in part by respective currents that may flow through the JJ 332 and the JJ 334. The first TCQ 314 may also include a bypass capacitor 336, which may be connected in parallel with the JJ 328 and the SQUID 330. The first TCQ 314 may also include a capacitor 338, which may be connected in parallel with the SQUID 330, and a capacitor 340, which may be connected in parallel with the JJ 328.

[0062] The second TCQ 316 may include a JJ 342 and a SQUID 344, which may be associated with (e.g., connected to) the JJ 342. The SQUID 344 may include a JJ 346 and a JJ 348, which may be connected in parallel with the JJ 346. The SQUID 344 may be formed in part by respective currents that may flow through the JJ 346 and the JJ 348. The second TCQ 316 may also include a bypass capacitor 350, which may be connected in parallel with the JJ 342 and the SQUID 344. The second TCQ 316 may also include a capacitor 352, which may be connected in parallel with the SQUID 344, and a capacitor 354, which may be connected in parallel with the JJ 342.

[0063] The first TCQ 314 may include a first mode associated with a first frequency (e.g., an "A" mode) and a second mode associated with a second frequency (e.g., a "B" mode). The second TCQ 316 may include a third mode associated with a third frequency (e.g., another "B" mode) and a fourth mode associated with a fourth frequency (e.g., another "A" mode). When a desired (e.g., suitable or appropriate) magnetic flux is applied to the SQUID 330 of the first TCQ 314 (e.g., via the coil component ( Figure 3 314; as described herein), first qubit 302 may couple only to a first mode (e.g., “A” mode) of first TCQ 314. When a desired (e.g., suitable or appropriate) magnetic flux is applied to SQUID 344 of second TCQ 316 (e.g., via a coil component ( Figure 3 316). Under the same respective magnetic field, first TCQ 314 and second TCQ 316 can couple to each other only via the second mode and the third mode (e.g., via their respective "B" modes). Thus, when TCQ 314 and TCQ 316 are under respective magnetic fields, there can be a balance between the first energy (e.g., the first Josephson energy) associated with SQUID 330 and the second energy associated with JJ 328 (e.g., the first and second energies can be the same or substantially the same), there can be a balance between the third energy associated with SQUID 344 and the fourth energy associated with JJ 342, and thus, interaction or coupling between the first qubit 302 and the second qubit 304 can be desirably suppressed, such as described herein.

[0064] When the respective magnetic fields applied to the first TCQ 314 and the second TCQ 316 are modified to the desired respective modified magnetic fields (e.g., by respective coil components), this may create an imbalance between a first energy associated with the SQUID 330 (e.g., as modified by the modified magnetic field) and a second energy associated with the JJ 328, and may create an imbalance between a third energy associated with the SQUID 344 (e.g., as modified by another modified magnetic field) and a fourth energy associated with the JJ 342. Thus, the respective modes of the first TCQ 314 and the second TCQ 316 may be excited, and the mode-selective coupling of the first TCQ 314 and the second TCQ 316 may be changed, so that the first qubit 302 may have a desired interaction or coupling with both the first mode and the second mode of the first TCQ 314, the second qubit 304 may have a desired interaction or coupling with both the third mode and the fourth mode of the second TCQ 316, and a desired interaction, coupling, and / or gating (e.g., ZZ interaction or coupling, exchange interaction or coupling, exchange gating, and / or CPHASE gating) may be created between the first qubit 302 and the second qubit 304 via the first TCQ 314 and the second TCQ 316.

[0065] refer to Figure 4 , Figure 4 A schematic diagram of an example non-limiting device layout 400 (e.g., device geometry) of a system that can include a TCQ pair that can manage interactions or couplings between qubits according to various aspects and embodiments of the disclosed subject matter is depicted. The device layout 400 of the system can include a layout of a quantum circuit device that can include qubit 402, qubit 404, TCQ 406, TCQ 408, CPW 410, CPW 412, CPW 414, CPW 416, and coupling capacitor 418. Qubit 402 can include JJ 420. Qubit 404 can include JJ 422. TCQ 406 can include JJ 424 and SQUID 426. TCQ 408 can include JJ 428 and SQUID 430.

[0066] Each of TCQ 406 and TCQ 408 may include a respective "A" mode and a respective "B" mode that may be associated with respective frequencies, such as described herein. Qubit 402 may be selectively coupled to TCQ 406 based on the "A" mode of TCQ 406, and qubit 404 may be selectively coupled to TCQ 408 based on the "A" mode of TCQ 408, as described herein. TCQ 406 and TCQ 408 may be selectively coupled to each other based on their respective "B" modes, such as described herein.

[0067] As part of device layout 400, qubit 402 may be comprised of a set of pads (e.g., conductive and / or capacitive pads) including pads 432, 434, 436, and 438, which may be located within and separated from ground region 440. Additionally, as part of device layout 400, qubit 404 may be comprised of another set of pads including pads 442, 444, 446, and 448, which may be located within and separated from ground region 450. Additionally, as part of device layout 400, TCQ 406 may be comprised of pads including pads 452, 454, and 456, which may be located within and separated from ground region 458. Additionally, as part of device layout 400, TCQ 408 may be comprised of various pads including pads 460, 462, and 464, which may be located within and separated from ground region 466.

[0068] JJ 420 of qubit 402 may be connected to pads 432 and 434. JJ 422 of qubit 404 may be connected to pads 442 and 444. Regarding TCQ 406, JJ 424 may be connected to pads 452 and 454, and SQUID 426 may be connected to pads 452 and 456. Regarding TCQ 408, JJ 428 may be connected to pads 460 and 462, and SQUID 430 may be connected to pads 460 and 464. TCQ 406 and TCQ 408 may be selectively coupled to each other via coupling capacitor 418.

[0069] Qubit 402 may be selectively coupled to TCQ 406, such as described herein. To facilitate such selective coupling, shim 436 of qubit 402 may be connected to CPW 410, and CPW 410 may be connected to shim 454 of TCQ 406, wherein shim 436 and shim 432 of qubit 402 may be capacitively associated with or connected to each other. Additionally, to facilitate such selective coupling, shim 438 of qubit 402 may be connected to CPW 412, and CPW 412 may be connected to shim 456 of TCQ 406, wherein shim 438 and shim 434 of qubit 402 may be capacitively associated with or connected to each other.

[0070] Qubit 404 may be selectively coupled to TCQ 408, such as described herein. To facilitate such selective coupling, shim 446 of qubit 404 may be connected to CPW 414, and CPW 414 may be connected to shim 462 of TCQ 408, wherein shim 446 and shim 442 of qubit 404 may be capacitively associated with or connected to each other. Additionally, to facilitate such selective coupling, shim 448 of qubit 404 may be connected to CPW 416, and CPW 416 may be connected to shim 464 of TCQ 408, wherein shim 448 and shim 444 of qubit 404 may be capacitively associated with or connected to each other.

[0071] The system represented by device layout 400 can operate and / or function in the same or similar manner as other systems or devices described herein with respect to selective coupling, inhibiting interaction or coupling between qubits when desired, and allowing interaction, coupling, or gating between qubits when desired. It will be understood and appreciated that, in accordance with various aspects and embodiments of the disclosed subject matter, example device layout 400 is merely one exemplary device layout of a system that can include TCQ pairs that can be associated with qubits, respectively, to facilitate desired selective interaction or coupling of such qubits, and that in other embodiments, various other device layouts can be utilized to achieve desired selective interaction or coupling of qubits.

[0072] Briefly refer to Figure 5 (Together with Figure 3 ), Figure 5A schematic diagram of an example non-limiting graph 500 is presented that illustrates magnetic field tuning for a ZZ interaction for a system that can include a pair of coupler components that can manage interactions or couplings between qubits in accordance with various aspects and embodiments of the disclosed subject matter. Coupling can be defined as an interaction between two systems (e.g., between a first system including a first qubit and / or a first TCQ and a second system including a second qubit and / or a second TCQ) that is strong enough to create multi-qubit gating (e.g., between two qubits) and / or an exchange of desired information or energy between two electronic components (e.g., qubits, resonators, or other desired electronic components or components) in accordance with various aspects and embodiments of the disclosed subject matter. The example graph 500 can present the Josephson energy E in gigahertz (GHz) as a function of the x-axis of the graph 500. j The ZZ interaction between first qubit 302 and second qubit 304 in kilohertz (kHz) along the y-axis of graph 500 as a function of . In an example case, curve 502 may present an indication of the ZZ interaction between first qubit 302 and second qubit 304 for various Josephson energies E j A data point for the amount of ZZ interactions between first qubit 302 and second qubit 304.

[0073] In this exemplary case, the critical current associated with JJ 328 of the first TCQ 314 and the critical current associated with JJ 342 of the second TCQ 316 may be selected or set so that they both have a Josephson energy E j =10 GHz. Further, in this example case, the frequency associated with first qubit 302 and second qubit 304 may be approximately 5 GHz. The Josephson energies of SQUID 330 of first TCQ 314 and SQUID 344 of second TCQ 316 may be tuned (e.g., simultaneously or concurrently tuned, adjusted, or modified) via respective magnetic fluxes applied to respective SQUID 330 and SQUID 344 (e.g., through respective coil components).

[0074] When the E of each SQUID in SQUID 330 and SQUID 344 is j When both are equal to 10 GHz, based on the respective magnetic fields applied to SQUID 330 and SQUID 344 (e.g., by respective coil components), the ZZ and exchange interactions between first qubit 302 and second qubit 304 can be desirably (e.g., moderately or severely) suppressed, as indicated at reference numeral 504 of graph 500. That is, the TCQ 314 and TCQ 316 pair can be effectively in a closed position or state, in which the ZZ and exchange interactions between first qubit 302 and second qubit 304 can be suppressed.

[0075] When the E of each SQUID in SQUID 330 and SQUID 344 is j When both are increased toward about 25 GHz, based on the corresponding modified magnetic fields applied to SQUID 330 and SQUID 344 (e.g., by the corresponding coil components), the ZZ interaction between first qubit 302 and second qubit 304 can be desirably (e.g., significantly or appropriately) increased to achieve ZZ>10 megahertz (MHz), as indicated at reference number 506 of graph 500. Thus, when the E of each of SQUID 330 and SQUID 344 is less than 10 MHz, the ZZ interaction between first qubit 302 and second qubit 304 can be desirably (e.g., significantly or appropriately) increased to achieve ZZ>10 megahertz (MHz), as indicated at reference number 506 of graph 500. j When increased to about 25 GHz, the TCQ 314 and TCQ 316 pair may be effectively in an on position or state, wherein it may be desirable to increase the ZZ and exchange interactions between the first qubit 302 and the second qubit 304 .

[0076] Figure 6 A schematic diagram of an example non-limiting system 600 is shown that can couple multiple (e.g., four or more) coupler components via a capacitive or CPW resonator bus component to provide enhanced connectivity between qubits and facilitate managing interactions or couplings between qubits in accordance with various aspects and embodiments of the disclosed subject matter. For the sake of brevity, repeated descriptions of similar elements employed in other embodiments described herein are or may be omitted.

[0077] Example system 600 may include qubit 602, qubit 604, qubit 606, and qubit 608. Example system 600 may also include TCQ 610, TCQ 612, TCQ 614, and TCQ 616. Each of TCQ 610, TCQ 612, TCQ 614, and TCQ 616 may include an "A" oscillation mode and a "B" oscillation mode that may be associated with respective frequencies. It will be understood and appreciated that while system 600 includes four qubits and four TCQs, in other embodiments, system 600 may include fewer or more than four qubits, and fewer or more than four TCQs.

[0078] Qubit 602 may be associated with (e.g., coupled to) TCQ 610 via coupling capacitor 618 and coupling capacitor 620. Qubit 604 may be associated with TCQ 612 via coupling capacitor 622 and coupling capacitor 624. Qubit 606 may be associated with TCQ 614 via coupling capacitor 626 and coupling capacitor 628. Qubit 608 may be associated with TCQ 616 via coupling capacitor 630 and coupling capacitor 632.

[0079] System 600 may include bus component 634, which may be used to facilitate selective interaction or coupling between respective qubits (e.g., qubit 602, qubit 604, qubit 606, or qubit 608). According to various embodiments, bus component 634 may be a capacitive bus component or a CPW resonator bus component. Bus component 634 may be associated with (e.g., coupled to) TCQ 610 via coupling capacitor 636, associated with TCQ 612 via coupling capacitor 638, associated with TCQ 614 via coupling capacitor 640, and associated with TCQ 616 via coupling capacitor 642.

[0080] Respective qubit 602, qubit 604, qubit 606, and qubit 608 may be selectively coupled to respective TCQs 610, TCQ 612, TCQ 614, and TCQ 616 based on respective “A” modes of respective TCQs 610, TCQ 612, TCQ 614, and TCQ 616. Respective TCQs 610, TCQ 612, TCQ 614, and TCQ 616 may be selectively coupled to one another based on respective “B” modes of respective TCQs 610, TCQ 612, TCQ 614, and TCQ 616 and via bus section 634.

[0081] The system 600 may also include a SQUID ( Figure 6 614, and 616, respectively.

[0082] For example, if it is desired to suppress interaction and coupling between all of qubits 602, qubit 604, qubit 606, and qubit 608 associated with bus component 634, coil element 644, coil element 646, coil element 648, and coil element 650 may apply respective magnetic fluxes to respective TCQs 610, TCQ 612, TCQ 614, and TCQ 616 so that, for each TCQ, there may be a balance between a first Josephson energy associated with the SQUID of that TCQ and a second Josephson energy associated with the JJ of that TCQ (e.g., the first Josephson energy and the second Josephson energy may be the same or substantially the same), and thus, interaction or coupling between qubit 602, qubit 604, qubit 606, and qubit 608 may be desirably suppressed, such as described herein.

[0083] If it is desired to create interaction, coupling, or gating between qubit pairs connected to the same node (e.g., the same bus element 634), such interaction, coupling, or gating can be selectively achieved by the system 600 by flux tuning only the TCQs associated with the qubit pair to excite their respective "B" modes by modifying the respective magnetic fluxes applied to these TCQs to turn these TCQs to the on state, while causing other TCQs associated with other qubits to be in the off state based on the respective magnetic fluxes applied to these other TCQs. For example, if it is desired to create interaction, coupling, or gating between qubit 602 and qubit 604 associated with bus component 634 while suppressing interaction with other qubits 606 and qubit 608 associated with bus component 634, the first magnetic flux applied to TCQ 610 by coil component 644 can be modified to a first modified magnetic flux based on a modified input current supplied to coil component 644 to flux tune (e.g., to modify the tuning of) the SQUID of TCQ 610, and the second magnetic flux applied to TCQ 612 by coil component 646 can be modified to a second modified magnetic flux based on another modified input current supplied to coil component 646 to flux tune the SQUID of TCQ 612. The first modified magnetic flux may create an imbalance in Josephson energy between the associated JJ of the SQUID and TCQ 610, and the second modified magnetic flux may create an imbalance in Josephson energy between the associated JJ of the SQUID and TCQ 612, such as described herein. Thus, between qubit 602 and qubit 604, via mode selective coupling of TCQ 610 and TCQ 612 (e.g., as described herein), and via bus component 634, there may be a desired selective interaction, coupling, and / or gating (e.g., ZZ interaction and coupling, and / or entanglement interaction and gating). Other magnetic fluxes applied to other TCQ 614 and TCQ 616 by other coil components 648 and coil components 650 may remain intact. Thus, for those qubits 606 and qubit 608 as well as qubit 602 and qubit 604, the interaction or coupling between other qubits 606 and qubit 608 associated with those other TCQs may be suppressed.

[0084] As another example, if it is desired to selectively create interaction, coupling, or gating between qubit 604 and qubit 608 associated with bus component 634 while suppressing interaction with other qubits 602 and qubit 606 associated with bus component 634, coil component 646 and coil component 650 can be controlled to apply corresponding modified magnetic flux to corresponding TCQ 612 and TCQ 616 to flux tune only TCQ 612 and TCQ 616 associated with qubit 604 and qubit 608 to excite their corresponding “B” modes, thereby transitioning those TCQ 612 and TCQ 616 to the on state and achieving such interaction, coupling, or gating between qubit 604 and qubit 608. At the same time, coil assembly 644 and coil assembly 648 may continue to apply respective magnetic fluxes to other TCQs 610 and 614 to maintain TCQs 610 and 614 in a closed state (e.g., by maintaining their "B" modes in a non-excited state) and inhibit interaction of qubits 602 and 606 with each other or with other qubits 604 and 608. System 600 may be utilized and managed to allow any desired selective interaction or coupling between any qubit pairs associated with bus assembly 634 while inhibiting interaction or coupling between other qubits associated with bus assembly 634.

[0085] Briefly refer to Figure 7 (Together with Figure 6 ), Figure 7 A schematic diagram of an exemplary limiting graph 700 is presented, which shows the interaction between two qubits associated with respective TCQs associated with a node (e.g., a bus component) when one of the TCQs is flux tuned to transition the TCQ to an on state and the other TCQ is maintained in an off state, in accordance with various aspects and embodiments of the disclosed subject matter. The example graph 700 may present the Josephson energy E in GHz as a function of the x-axis of the graph 700. j The ZZ interaction between qubit 602 and qubit 606 in kHz along the y-axis of graph 700 as a function of . In an example case, curve 702 may present an indication of the ZZ interaction between qubit 602 and qubit 606 for various Josephson energies E j A data point for the amount of ZZ interactions between qubit 602 and qubit 606.

[0086] In this example case, the TCQ 610 associated with qubit 602 may be flux tuned to excite the "B" mode of TCQ 610 to transition it to an excited state, thereby transitioning or placing TCQ 610 in an on state, while the TCQ 614 associated with qubit 606 may remain in an off state. Josephson energy E of the SQUID of TCQ 610 j can be varied within the desired scan range. The ZZ interaction between qubit 602 and qubit 606 can be calculated. Curve 702 can represent the ZZ interaction for various Josephson energies E j The amount of ZZ interaction between qubit 602 and qubit 606 is calculated. In graph 700, it can be observed that ZZ < 1 kHz for the entire scan range, which may indicate a desired minimum amount of unwanted entanglement between qubit 602 and qubit 606.

[0087] Figure 8 A schematic diagram of an example non-limiting system 800 according to various aspects and embodiments of the disclosed subject matter is shown, which can include qubits (e.g., transmission qubits) and associated TCQs that can be associated with corresponding bus components to form a square lattice to provide enhanced connectivity between qubits and facilitate managing interactions or couplings between qubits. For the sake of brevity, repeated descriptions of similar elements employed in other embodiments described herein are or may be omitted.

[0088] Example system 800 may include a first subgroup of qubits as part of a lattice including qubits, which may include qubit 802, qubit 804, qubit 806, and qubit 808. Example system 800 may also include TCQ 810, TCQ 812, TCQ 814, and TCQ 816. Each of TCQ 810, TCQ 812, TCQ 814, and TCQ 816 may include an "A" oscillation mode and a "B" oscillation mode that may be associated with a respective frequency. Qubit 802 may be associated with (e.g., selectively coupled to) TCQ 810 via coupling capacitor 818 and coupling capacitor 820. Qubit 804 may be associated with TCQ 812 via coupling capacitor 822 and coupling capacitor 824. Qubit 806 may be associated with TCQ 814 via coupling capacitor 826 and coupling capacitor 828. Qubit 808 may be associated with TCQ 816 via coupling capacitor 830 and coupling capacitor 832 .

[0089] System 800 may include a bus component 834 that may be used to facilitate selective interaction or coupling between respective qubits (e.g., qubit 802, qubit 804, qubit 806, or qubit 808). According to various embodiments, bus component 834 may be a capacitive bus component or a CPW resonator bus component. Bus component 834 may be associated with (e.g., coupled to) TCQ 810 via coupling capacitor 836, associated with TCQ 812 via coupling capacitor 838, associated with TCQ 814 via coupling capacitor 840, and associated with TCQ 816 via coupling capacitor 842.

[0090] Respective qubit 802, qubit 804, qubit 806, and qubit 808 may be selectively coupled to respective TCQs 810, TCQs 812, TCQs 814, and TCQs 816 based on respective “A” modes of respective TCQs 810, TCQs 812, TCQs 814, and TCQs 816, such as described herein. Respective TCQs 810, TCQs 812, TCQs 814, and TCQs 816 may be selectively coupled to each other based on respective “B” modes of respective TCQs 810, TCQs 812, TCQs 814, and TCQs 816, and via bus element 834, such as described herein.

[0091] The example system 800 may also include a second subgroup of qubits as part of the lattice, which may include qubit 806, qubit 844, qubit 846, and qubit 848, which may be associated with TCQ 850, TCQ 852, TCQ 854, and TCQ 856, respectively (e.g., via respective coupling capacitors). As may be observed, in the lattice, qubit 806 may be part of both the first subgroup of qubits and the second subgroup of qubits. That is, qubit 806, as well as various other qubits of the lattice, may each be associated with two TCQs (e.g., qubit 806 may be selectively coupled to TCQ 814 and TCQ 850). TCQ 850, TCQ 852, TCQ 854, and TCQ 856 may be associated with bus element 858 (e.g., via respective coupling capacitors). It will be understood and appreciated that this portion and other portions of the lattice associated with other subgroups of qubits may also include various other coupling capacitors to couple respective qubits to respective TCQs and respective TCQs to respective bus components; however, for reasons of brevity and clarity, the coupling capacitors are not shown in FIG. Figure 8 This coupling capacitor is not quoted numerically.

[0092] Each of TCQ 850, TCQ 852, TCQ 854, and TCQ 856 may include an "A" oscillation mode and a "B" oscillation mode that may be associated with a respective frequency. Respective qubit 806, qubit 844, qubit 846, and qubit 848 may be selectively coupled to respective TCQ 850, TCQ 852, TCQ 854, and TCQ 856 based on the respective "A" mode of the respective TCQ 850, TCQ 852, TCQ 854, and TCQ 856, such as described herein. Respective TCQ 850, TCQ 852, TCQ 854, and TCQ 856 may be selectively coupled to each other based on the respective "B" mode of the respective TCQ 850, TCQ 852, TCQ 854, and TCQ 856, and via bus element 858, such as described herein.

[0093] Example system 800 may also include a third subgroup of qubits as part of the lattice, which may include qubit 808, qubit 860, qubit 862, and qubit 864, which may be associated with TCQ 866, TCQ 868, TCQ 870, and TCQ 872, respectively (e.g., via respective coupling capacitors). As may be observed, in the lattice, qubit 808 may be part of a first subgroup of qubits and a third subgroup of qubits. TCQ 866, TCQ 868, TCQ 870, and TCQ 872 may be associated with bus element 874 (e.g., via respective coupling capacitors). Each of TCQ 866, TCQ 868, TCQ 870, and TCQ 872 may include an "A" oscillation mode and a "B" oscillation mode that may be associated with respective frequencies. Respective qubit 808, qubit 860, qubit 862, and qubit 864 may be selectively coupled to respective TCQs 866, TCQ 868, TCQ 870, and TCQ 872, such as described herein, based on respective “A” modes of respective TCQs 866, TCQ 868, TCQ 870, and TCQ 872. Respective TCQs 866, TCQ 868, TCQ 870, and TCQ 872 may be selectively coupled to each other, such as described herein, based on respective “B” modes of respective TCQs 866, TCQ 868, TCQ 870, and TCQ 872, and via bus element 874.

[0094] Example system 800 may also include a fourth subgroup of qubits as part of the lattice, which may include qubit 848, qubit 860, qubit 876, and qubit 878, which may be associated with TCQ 880, TCQ 882, TCQ 884, and TCQ 886, respectively (e.g., via respective coupling capacitors). As may be observed, in the lattice, qubit 848 may be part of a second subgroup of qubits and a fourth subgroup of qubits, and qubit 860 may be part of a third subgroup of qubits and a fourth subgroup of qubits. TCQ 880, TCQ 882, TCQ 884, and TCQ 886 may be associated with bus element 888 (e.g., via respective coupling capacitors). Each of TCQ 880, TCQ 882, TCQ 884, and TCQ 886 may include an "A" oscillation mode and a "B" oscillation mode that may be associated with respective frequencies. Respective qubit 848, qubit 860, qubit 876, and qubit 878 may be selectively coupled to respective TCQs 880, TCQ 882, TCQ 884, and TCQ 886, such as described herein, based on respective “A” modes of respective TCQs 880, TCQ 882, TCQ 884, and TCQ 886. Respective TCQs 880, TCQ 882, TCQ 884, and TCQ 886 may be selectively coupled to each other, such as described herein, based on respective “B” modes of respective TCQs 880, TCQ 882, TCQ 884, and TCQ 886, and via bus element 888.

[0095] Similarly, in some embodiments, the example system 800 may also include a fifth subgroup 890 of qubits that are part of the lattice (which may include qubits 846 that are also part of the second subgroup of qubits), where respective qubits in the fifth subgroup 890 may be associated with respective TCQs that may be associated with bus components; a sixth subgroup 892 of qubits (which may include qubits 876 that are also part of the fourth subgroup of qubits), where respective qubits of the sixth subgroup 892 may be associated with respective TCQs that may be associated with bus components; and / or another subgroup(s) of qubits, associated TCQs, and associated bus components.

[0096] If it is desired to suppress interaction between all of the qubits in the lattice (e.g., qubit 802, qubit 804, qubit 806, qubit 808, qubit 844, qubit 846, qubit 848, ..., qubit 860, ..., qubit 876, qubit 878, qubit 880), a corresponding magnetic field (e.g., via a corresponding coil assembly) may be applied to a corresponding TCQ associated with a corresponding qubit of the lattice (e.g., TCQ 810, TCQ 812, TCQ 814, TCQ 816, TCQ 850, TCQ 852, TCQ 854, TCQ 856, TCQ 866, ..., TCQ 880, TCQ 882, TCQ 884, TCQ 886) to place the corresponding TCQ in a closed state, such as described herein. System 800 may also enable selective interaction or coupling between one or more desired qubit pairs (e.g., qubit 802 and qubit 806; and / or qubit 846; and / or qubit 848 and qubit 860) of a lattice by flux tuning only the TCQs associated with the one or more desired qubit pairs (e.g., TCQ 810 and TCQ 814; and / or TCQ 852 and TCQ 854; and / or TCQ 882 and TCQ 880), the flux tuning being performed by modifying the respective magnetic fluxes applied to those TCQs (e.g., by respective coil components associated with those TCQs) to excite only the respective “B” modes of those TCQs, thereby transitioning them to an excited state, to transition those TCQs from an off state to an on state, while maintaining other TCQs associated with other qubits in an off state based on the respective magnetic fluxes applied to those other TCQs associated with the lattice, such as described herein. It will be understood and appreciated that for the sake of brevity and clarity, Figure 8 Not shown are the corresponding coil components associated with the corresponding TCQs (e.g., TCQ 810, TCQ 812, TCQ 814, TCQ 816, TCQ 850, TCQ 852, TCQ 854, TCQ 856, TCQ 866, ..., TCQ 880, TCQ 882, TCQ 884, TCQ 886).

[0097] Fig. 9A schematic diagram of an example non-limiting system 900 is depicted that may include quadrupole transmission qubits and associated TCQs that may be associated with corresponding bus components to form a square lattice (e.g., a desired dense square lattice) to provide enhanced connectivity between such qubits and facilitate managing interactions or couplings between such qubits in accordance with various aspects and embodiments of the disclosed subject matter. The system 900 may also have a desired increased component density (e.g., an increased number of quantum components on a die) compared to existing quantum circuit devices and techniques. For the sake of brevity, repeated descriptions of similar elements employed in other embodiments described herein are or may be omitted.

[0098] The lattice of system 900 may include a quadrupole transmission qubit group, which includes a quadrupole transmission qubit (QTQ) 902. QTQ 902 (and each of the other QTQs) may include four capacitor pads, including capacitor pad 904, capacitor pad 906, capacitor pad 908, and capacitor pad 910, and JJ 912. Capacitor pad 904 and capacitor pad 906 may be electrically connected to each other, and capacitor pad 908 and capacitor pad 910 may be electrically connected to each other. JJ 912 may be associated with (e.g., connected to) capacitor pad 904, capacitor pad 906, capacitor pad 908, and capacitor pad 910. JJ 912 may facilitate (e.g., enable) connecting capacitor pad 904 and capacitor pad 906 to capacitor pad 908 and capacitor pad 910 under certain conditions. QTQ 902 may function like a transmission qubit such as described herein, except that utilizing a capacitor shim arrangement associated with JJ 912 of QTQ 902, the QTQ 902 may have dipole interactions with up to four TCQs instead of only up to two TCQs.

[0099] The example system 900 may include a first subgroup of QTQs as part of a lattice (e.g., a square lattice), which may include QTQ 902, QTQ 914, QTQ 916, and QTQ 918. The example system 900 may also include TCQ 920, TCQ 922, TCQ 924, and TCQ 926. Each of TCQ 920, TCQ 922, TCQ 924, and TCQ 926 may include an "A" oscillation mode and a "B" oscillation mode that may be associated with a respective frequency. QTQ 902 may be associated with (e.g., selectively coupled to) TCQ 920 (e.g., via a coupling capacitor). QTQ 914 may be associated with TCQ 922 (e.g., via a coupling capacitor). QTQ 916 may be associated with TCQ 924 (e.g., via a coupling capacitor). QTQ 918 may be associated with TCQ 926 (e.g., via a coupling capacitor). As disclosed, each QTQ in the QTQ (e.g., QTQ 902) can be associated with one or more TCQs (e.g., TCQ 920) via coupling capacitors (e.g., coupling capacitor 928 and coupling capacitor 930). Fig. 9 In the drawings, only some of the coupling capacitors are explicitly referenced using reference numerals.

[0100] The system 900 may include a bus component 932 that may be used to facilitate selective interaction or coupling between respective QTQs 902, QTQs 914, QTQs 916, and QTQs 918 associated with the bus component 932 via respective TCQs 920, TCQs 922, TCQs 924, and TCQs 926, respectively. According to various embodiments, the bus component 932 may be a capacitive bus component or a CPW resonator bus component. The bus component 932 may be associated with (e.g., coupled to) the TCQs 920, TCQs 922, TCQs 924, and TCQs 926 via respective coupling capacitors (e.g., coupling capacitors 934).

[0101] Respective QTQs 902, QTQs 914, QTQs 916, and QTQs 918 may be selectively coupled to respective TCQs 920, TCQs 922, TCQs 924, and TCQs 926, such as described herein, based on respective “A” modes of respective TCQs 920, TCQs 922, TCQs 924, and TCQs 926. Respective TCQs 920, TCQs 922, TCQs 924, and TCQs 926 may be selectively coupled to each other, such as described herein, based on respective “B” modes of respective TCQs 920, TCQs 922, TCQs 924, and TCQs 926, and via bus section 932.

[0102] The example system 900 may also include a second subgroup of QTQs as part of the lattice, which may include QTQs 916, QTQs 936, QTQs 938, and QTQs 940, which may be associated with TCQs 942, TCQs 944, TCQs 946, and TCQs 948, respectively (e.g., via respective coupling capacitors). As may be observed, in the lattice, QTQ 916 may be part of a first subgroup of QTQs and a second subgroup of QTQs. TCQs 942, TCQs 944, TCQs 946, and TCQs 948 may be associated with bus element 950 (e.g., via respective coupling capacitors). Each of TCQs 942, TCQs 944, TCQs 946, and TCQs 948 may include an "A" oscillation mode and a "B" oscillation mode that may be associated with respective frequencies. Respective QTQ 916, QTQ 936, QTQ 938, and QTQ 940 may be selectively coupled to respective TCQ 942, TCQ 944, TCQ 946, and TCQ 948 based on respective “A” modes of respective TCQ 942, TCQ 944, TCQ 946, and TCQ 948, such as described herein. Respective TCQ 942, TCQ 944, TCQ 946, and TCQ 948 may be selectively coupled to each other based on respective “B” modes of respective TCQ 942, TCQ 944, TCQ 946, and TCQ 948, and via bus element 950, such as described herein.

[0103] The example system 900 may also include a third subgroup of QTQs as part of the lattice, which may include QTQs 916, QTQs 918, QTQs 940, and QTQs 952, which may be associated with TCQs 954, TCQs 956, TCQs 958, and TCQs 960, respectively (e.g., via respective coupling capacitors). As may be observed, in the lattice, QTQs 916 may be part of the first, second, and third subgroups of QTQs, QTQs 918 may be part of the first and third subgroups of QTQs, and QTQs 940 may be part of the second and third subgroups of TCQs. TCQs 954, TCQs 956, TCQs 958, and TCQs 960 may be associated with bus components 962 (e.g., via respective coupling capacitors). Each of the TCQs 954, TCQ 956, TCQ 958, and TCQ 960 may include an "A" oscillation mode and a "B" oscillation mode that may be associated with a respective frequency. Based on the respective "A" modes of the respective TCQs 954, TCQ 956, TCQ 958, and TCQ 960, the respective QTQs 916, QTQ 918, QTQ 940, and QTQ 952 may be selectively coupled to the respective TCQs 954, TCQ 956, TCQ 958, and TCQ 960, such as described herein. Based on the respective "B" modes of the respective TCQs 954, TCQ 956, TCQ 958, and TCQ 960, and via the bus section 962, the respective TCQs 954, TCQ 956, TCQ 958, and TCQ 960 may be selectively coupled to each other, such as described herein.

[0104] The lattice may also include other subgroups of QTQs, where each subgroup of QTQs may include a respective QTQ that may be associated with a respective TCQ that may be associated with a bus member. As disclosed, given the structure and characteristics of a QTQ (e.g., QTQ 916), the QTQ may have dipole interactions with up to four TCQs instead of only up to two TCQs. For example, with respect to QTQ 916, in addition to QTQ 916 being associated with (e.g., selectively coupled to) TCQ 924, TCQ 942, and TCQ 956, QTQ 916 may also be associated with a fourth TCQ, namely, TCQ 964 (e.g., via a coupling capacitor). TCQ 964 may be associated with bus member 966 (e.g., via a coupling capacitor).

[0105] In addition, QTQ 914 can be associated with TCQ 968 (e.g., via a coupling capacitor), where TCQ 968 can be associated with bus element 966 (e.g., via a coupling capacitor). QTQ 936 can be associated with TCQ 970 (e.g., via a coupling capacitor), where TCQ 970 can be associated with bus element 966 (e.g., via a coupling capacitor).

[0106] Thus, where QTQ 916 is associated with four TCQs (e.g., TCQ 924, TCQ 942, TCQ 956, and TCQ 964) that may be associated with four bus elements (e.g., bus element 932, bus element 950, bus element 962, and bus element 966), QTQ 916 may selectively interact with (e.g., may be selectively coupled to) seven or more QTQs (e.g., QTQ 902, QTQ 914, QTQ 918, QTQ 936, QTQ 938, QTQ 940, and QTQ 952, and / or another QTQ if the lattice is extended). Furthermore, in some embodiments, if a pair of QTQs (e.g., QTQ 902 and QTQ 914) associated with one bus element (e.g., bus element 932) interact with each other because their associated TCQs (e.g., TCQ 920 and TCQ 926) are switched to an on state (e.g., based on modified magnetic flux applied thereto), then, if desired, QTQ 916 may simultaneously or synchronously interact with QTQ 918 via bus element 962 by switching its associated TCQs (e.g., TCQ 956 and TCQ 954) to an on state, even though QTQ 902, QTQ 914, QTQ 916, and QTQ 918 are all associated with bus element 932.

[0107] If it is desired to suppress interaction between all QTQs (e.g., QTQ 902, QTQ 914, QTQ 916, QTQ 918, QTQ 936, QTQ 938, QTQ 940, and QTQ 952, and other QTQs) in the QTQs of the lattice, a corresponding magnetic field (e.g., via a corresponding coil assembly) may be applied to a corresponding TCQ (e.g., TCQ 920, TCQ 922, TCQ 924, TCQ 926, TCQ 942, TCQ 944, TCQ 946, TCQ 948, TCQ 954, TCQ 956, TCQ 958, TCQ 960, TCQ 964, TCQ 968, and TCQ 970, and other TCQs) associated with a corresponding QTQ of the lattice to place the corresponding TCQ in a closed state, such as described herein. System 900 can also achieve one or more desired QTQ pairs (e.g., QTQ 902 and QTQ 914; and / or QTQ 916 and QTQ 938; and / or QTQ 940 and QTQ 946, respectively) of the lattice by flux tuning only the TCQs associated with the one or more desired QTQ pairs (e.g., TCQ 920 and TCQ 922; and / or TCQ 942 and TCQ 946; and / or TCQ 958 and TCQ 960, respectively). 952), the flux tuning being performed by modifying the respective magnetic fluxes applied to those TCQs (e.g., by respective coil components associated with those TCQs) to flux tune those TCQs to excite only those TCQs, thereby transitioning them to an excited state, thereby transitioning those TCQs from an off state to an on state, while retaining other TCQs associated with other qubits in an off state based on the respective magnetic fluxes applied to other TCQs associated with the lattice, such as described herein.

[0108] It will be understood and appreciated that for the sake of brevity and clarity, the corresponding coil components associated with the corresponding TCQs (e.g., TCQ 920, TCQ 922, TCQ 924, TCQ 926, TCQ 942, TCQ 944, TCQ 946, TCQ 948, TCQ 954, TCQ 956, TCQ 958, TCQ 960, TCQ 964, TCQ 968, and TCQ 970) are not shown in the drawings. Fig. 9 It will also be understood and appreciated that the lattice of system 900 may be further expanded in any direction, or even expanded across multiple dies (e.g., via CPW resonators that may achieve desired remote coupling) to allow for more QTQ, TCQ, and bus components in accordance with the disclosed subject matter.

[0109] Fig.10A schematic diagram of another example non-limiting system 1000 according to various aspects and embodiments of the disclosed subject matter is shown, which example non-limiting system can include QTQs and associated TCQs that can be associated with respective bus components to form a square lattice, thereby providing enhanced connectivity between such QTQs and facilitating management of interactions or couplings between such QTQs. For the sake of brevity, repeated descriptions of similar elements employed in other embodiments described herein are or may be omitted.

[0110] The array of system 1000 may include a group of QTQs including QTQ 1002 , QTQ 1004 , QTQ 1006 , QTQ 1008 , QTQ 1010 , QTQ 1012 , QTQ 1014 , QTQ 1016 , and QTQ 1018 . Fig.10 The system of 1000 dots and Fig. 9 The difference between the lattices of system 900 is that the lattices of system 900 may have an increased density (eg, more QTQs may be included in the same amount of space on a die) compared to the lattices of system 1000 .

[0111] Exemplary system 1000 may also include TCQ 1020, TCQ 1022, TCQ 1024, TCQ 1026, TCQ 1028, TCQ 1030, TCQ 1032, TCQ 1034, TCQ 1036, TCQ 1038, TCQ 1040, TCQ 1042, TCQ 1044, TCQ 1046, TCQ 1048, TCQ 1050, TCQ 1052, TCQ 1054, TCQ 1056, TCQ 1058, TCQ 1060, TCQ 1062, TCQ 1064, and TCQ 1066. Each of the TCQs (e.g., TCQ 1020 through TCQ 1066) may include an “A” oscillation mode and a “B” oscillation mode that may be associated with respective frequencies. The example system 1000 may also include a bus component 1068 , a bus component 1070 , a bus component 1072 , a bus component 1074 , a bus component 1076 , a bus component 1078 , a bus component 1080 , a bus component 1082 , a bus component 1084 , a bus component 1086 , a bus component 1088 , and a bus component 1090 .

[0112] Based on the respective "A" modes of the respective TCQs, the respective QTQs (e.g., QTQs 1002 to QTQs 1018) may be selectively coupled to the respective TCQs (e.g., TCQs 1020 to TCQs 1066), such as described herein. Based on the respective "B" modes of the respective TCQs, and via the respective bus components (e.g., bus components 1068 to 1090), the respective TCQs (e.g., TCQs 1020 to TCQs 1066) may be selectively coupled to each other, such as described herein.

[0113] For example, respective QTQs (e.g., QTQ 1002 through QTQ 1018) may be associated with (e.g., selectively coupled to) respective TCQs (e.g., TCQ 1020 through TCQ 1066) via respective coupling capacitors, such as Fig.10 For example, via respective coupling capacitors, respective TCQs (e.g., TCQ 1020 to TCQ 1066) may be coupled to respective bus components (e.g., bus components 1068 to bus components 1099), such as Fig.10 1000. For example, QTQ 1002 may be associated with (e.g., selectively coupled to) TCQ 1020, TCQ 1022, TCQ 1024, and TCQ 1020 via respective coupling capacitors 1026 (e.g., QTQ may be associated with TCQ 1020 via coupling capacitors 1092 and 1094). TCQ 1020, TCQ 1022, TCQ 1024, and TCQ 1026 may be associated with respective bus components 1068, bus components 1070, bus components 1072, and bus components 1074 via respective coupling capacitors (e.g., TCQ 1020 may be associated with bus component 1068 via coupling capacitor 1096). For the sake of brevity and clarity, the following description is provided herein. Fig.10 In the drawings, only some of the coupling capacitors are explicitly referenced using reference numerals.

[0114] In addition, QTQ 1004 may be associated with TCQ 1032 (e.g., via a coupling capacitor), and TCQ 1032 may be associated with bus element 1068 (e.g., via a coupling capacitor). QTQ 1006 may be associated with TCQ 1036 (e.g., via a coupling capacitor), and TCQ 1036 may be associated with bus element 1070 (e.g., via a coupling capacitor). QTQ 1008 may be associated with TCQ 1042 (e.g., via a coupling capacitor), and TCQ 1042 may be associated with bus element 1072 (e.g., via a coupling capacitor). QTQ 1010 may be associated with TCQ 1048 (e.g., via a coupling capacitor), and TCQ 1048 may be associated with bus element 1074 (e.g., via a coupling capacitor).

[0115] The system 1000 employing subgroups of TCQs associated with respective bus components may desirably manage interactions and couplings between QTQs. For example, if it is desired to inhibit interactions between all QTQs (e.g., QTQs 1002 through 1018) in a lattice of QTQs of the system 1000, respective magnetic fields may be applied (e.g., via respective coil components) to respective TCQs (e.g., TCQs 1020 through 1066) associated with respective QTQs of the lattice, thereby placing the respective TCQs in a closed state, such as described herein. System 1000 may also enable desired selective interaction or coupling between one or more desired QTQ pairs (e.g., QTQ 1002 and QTQ 1004; and / or QTQ 1010 and QTQ 1018; and / or another QTQ pair) of a lattice by flux tuning only the TCQs associated with the one or more desired QTQ pairs (e.g., TCQ 1020 and TCQ 1032; and / or TCQ 1050 and TCQ 1066; and / or another TCQ pair, respectively) to transition those TCQs from an off state to an on state by modifying the respective magnetic fluxes applied to those TCQs (e.g., by respective coil components associated with those TCQs), while maintaining other TCQs associated with other qubits in an off state based on the respective magnetic fluxes applied to those other TCQs associated with the lattice, such as described herein.

[0116] It will be understood and appreciated that for the sake of brevity and clarity, Fig. 9Not shown are the respective coil components associated with the respective TCQs (e.g., TCQs 1020 through TCQs 1066). It will also be understood and appreciated from the disclosed subject matter that the lattice of system 1000 may be further expanded in any direction, or even across multiple dies (e.g., via CPW resonators that may achieve desired remote coupling) to allow for more QTQs, TCQs, and bus components.

[0117] Fig.11 A block diagram of an example non-limiting system 1100 is depicted that can employ CPW resonators that can enable remote (e.g., long-distance) coupling between TCQs and / or between TCQs and bus components in accordance with various aspects and embodiments of the disclosed subject matter. For the sake of brevity, repeated descriptions of similar elements employed in other embodiments described herein are or may be omitted.

[0118] System 1100 may include qubit 1102 and qubit 1104, TCQ 1106, and TCQ 1108. Qubit 1102 may be associated with TCQ 1106 via coupling capacitor 1110 and coupling capacitor 1112. Qubit 1104 may be associated with TCQ 1108 via coupling capacitor 1114 and coupling capacitor 1116. Each of TCQ 1106 and TCQ 1108 may include an “A” oscillation mode and a “B” oscillation mode that may be associated with respective frequencies. Qubit 1102 may be selectively coupled to TCQ 1106 based on the “A” mode of TCQ 1106, and qubit 1104 may be selectively coupled to TCQ 1108 based on the “A” mode of TCQ 1108, such as described herein. TCQ 1106 and TCQ 1108 may be selectively coupled to one another based on respective “B” modes of TCQ 1106 and TCQ 1108 (and via CPW resonator 1118 ), such as described herein.

[0119] In some embodiments, the system 1100 may use a CPW resonator 1118 having a desired length (e.g., a desired long length that may be on the order of millimeters) and having a desired resonance (e.g., about 5 GHz or other desired resonance frequency) to facilitate desired long-distance coupling (e.g., selective coupling) between a TCQ 1106 and a TCQ 1108 or between two dies across the same die (e.g., an IC or qubit chip). The CPW resonator 1118 may act as a bus between the TCQ 1106 and the TCQ 1108. In some embodiments, the TCQ 1106 may be coupled to the CPW resonator 1118 via a coupling capacitor 1120, and the TCQ 1108 may be coupled to the CPW resonator 1118 via a coupling capacitor 1122.

[0120] According to various embodiments, TCQ 1106 and TCQ 1108 may be coupled to a fundamental mode of CPW resonator 1118 (e.g., a 5 GHz CPW resonator or a CPW resonator having a fundamental mode associated with a frequency greater than or less than 5 GHz), or to a higher mode when CPW resonator 1118 is relatively long in length. In some embodiments, the length of CPW resonator 1118 may be adjusted so that the higher mode of CPW resonator 1118 may also be about 5 GHz or another desired frequency greater than or less than 5 GHz.

[0121] In other embodiments, one or both of TCQ 1106 and / or TCQ 1108 may be selectively coupled to each other via one or more CPW resonators 1124 and / or CPW resonators 1126, which may be associated with bus element 1128 via one or more corresponding coupling capacitors 1130 and / or coupling capacitors 1132. In still other embodiments, a qubit (e.g., qubit 1102) may be selectively coupled to a TCQ (e.g., TCQ 1106) via a CPW resonator having a desired length and resonance and via a coupling capacitor that may be logically and / or physically located between the qubit and the TCQ.

[0122] Interaction and coupling between qubit 1102 and qubit 1104 may be selectively enabled or engaged via TCQ 1106 and TCQ 1108 and via CPW resonator(s) (e.g., CPW resonator 1118) based on respective magnetic flux or respective modified magnetic flux applied to respective TCQ 1106 and TCQ 1108 (e.g., through respective coil components), such as described more fully herein.

[0123] Fig.12A block diagram of an example non-limiting system 1200 is shown that can employ a CPW resonator that can enable long-range (e.g., long-distance) coupling between TCQs across multiple dies in accordance with various aspects and embodiments of the disclosed subject matter. For the sake of brevity, repeated descriptions of similar elements employed in other embodiments described herein are or may be omitted.

[0124] System 1200 may include a first qubit (Q1) 1202 and a first TCQ (TCQ1) 1204, which may be formed on a first die 1206. System 1200 may also include a second qubit (Q2) 1208 and a second TCQ (TCQ2) 1210, which may be formed on a second die 1212. First qubit 1202 may be associated with first TCQ 1204 via coupling capacitor (C) 1214 and coupling capacitor (C) 1216. Second qubit 1208 may be associated with second TCQ 1210 via coupling capacitor 1218 and coupling capacitor 1220. Each of TCQ 1204 and TCQ 1210 may include an “A” oscillation mode and a “B” oscillation mode that may be associated with respective frequencies. First qubit 1202 may be selectively coupled to first TCQ 1204 based on the “A” mode of first TCQ 1204, and second qubit 1208 may be selectively coupled to second TCQ 1210 based on the “A” mode of second TCQ 1210, such as described herein. TCQ 1204 and TCQ 1210 may be selectively coupled to each other based on the respective “B” modes of TCQ 1204 and TCQ 1210 (and via a CPW resonator), such as described herein.

[0125] In some embodiments, the system 1200 may include a first CPW resonator 1222 that may be located on or formed on the first die 1206. The first CPW resonator 1222 may be coupled to the first TCQ 1204 via a coupling capacitor 1224. The first CPW resonator 1222 may have a desired length and resonance (e.g., resonant frequency), such as described herein. The first TCQ 1204 may be coupled to the first CPW resonator 1222 via a fundamental mode or higher mode of the first CPW resonator 1222, wherein the GIA fundamental mode or higher mode may be associated with a desired frequency.

[0126] In certain embodiments, the system 1200 may include a second CPW resonator 1226 that may be located on or formed on the second die 1212. The second CPW resonator 1226 may be coupled to the second TCQ 1210 via a coupling capacitor 1228. The second CPW resonator 1226 may have a desired length and resonance (e.g., resonant frequency), such as described herein. The second TCQ 1210 may be coupled to the second CPW resonator 1226 via a fundamental mode or higher modes of the second CPW resonator 1226, which may be associated with a desired frequency.

[0127] In some embodiments, the system 1200 can include a raised bond 1230 that can span from the first die 1206 to the second die 1212. The raised bond 1230 can be connected to the first CPW resonator 1222 and the second CPW resonator 1226 to connect the first CPW resonator 1222 to the second CPW resonator 1226. The raised bond 1230 can be formed of a desired conductive material (e.g., a superconducting material such as indium or other desired superconducting material).

[0128] Based on respective magnetic fluxes or respective modified magnetic fluxes applied to respective TCQs 1204 and TCQ 1210 (e.g., by respective coil components), interaction and coupling between first qubit 1202 and second qubit 1208 may be selectively enabled or engaged via TCQs 1204 and TCQ 1210, via CPW resonators 1222 and CPW resonators 1226, and via raised junction 1230, such as described more fully herein.

[0129] Briefly refer to Fig.13 (Together with Fig.11 ), Fig.13A schematic diagram of an example graph 1300 related to long-range coupling of qubits associated with TCQs connected via CPW resonators is presented in accordance with various aspects and embodiments of the disclosed subject matter. Coupling can be defined as an interaction between two systems (e.g., between a first system including a first qubit and / or a first TCQ and a second system including a second qubit and / or a second TCQ) that is strong enough to create multi-qubit gating (e.g., between two qubits) and / or an exchange of desired information or energy between two electronic components (e.g., qubits, resonators, or other desired electronic components or parts). Graph 1300 may include a graph 1302 related to a frequency (F) in GHz associated with a mode of a qubit (e.g., qubit 1102 and qubit 1104) and a TCQ (e.g., TCQ 1106) as a Josephson energy E in GHz. j Graph 1300 may also include a graph 1304 relating to the ZZ interaction between qubits (eg, qubit 1102 and qubit 1104) in kHz as a function of the Josephson energy E in GHz. j function.

[0130] Graph 1302 may include data point 1306 associated with the frequency of a first qubit (e.g., qubit 1102) as a function of the Josephson energy; data point 1308 associated with the frequency of a second qubit (e.g., qubit 1104) as a function of the Josephson energy; data point 1310 associated with the frequency of the "A" mode of the TCQ (e.g., TCQ 1106) as a function of the Josephson energy; and data point 1312 associated with the frequency of the "B" mode of the TCQ (e.g., TCQ 1106) as a function of the Josephson energy. In the example case, graph 1304 may include data point 1314 indicating the frequency of the first qubit (e.g., qubit 1102) as a function of the Josephson energy. j The amount of ZZ interaction between the first qubit and the second qubit.

[0131] The Josephson energy E of the SQUID of a TCQ (e.g. TCQ 1106) jmay vary over a desired sweep range. In this example case, a 5 GHz CPW resonator may be used as a bus between TCQs (e.g., TCQ 1106 and TCQ 1108), with the coupling capacitor to the middle paddle of either TCQ being 20 femtofarads. As may be observed in graph 1304 (e.g., data point 1314 of graph 1304), when the TCQ (e.g., TCQ 1106) is in an off position or state, there may be a desired low ZZ (e.g., <1e-5 kHz) between qubits (e.g., qubit 1102 and qubit 1104), and when the TCQ (e.g., TCQ 1106) is in an on position or state, there may be a desired high ZZ interaction (e.g., >10 MHz) between qubits (e.g., qubit 1102 and qubit 1104), as indicated at reference numerals 1316 and 1318, respectively.

[0132] Fig.14 A block diagram of an example system 1400 that can be used to create, form, or design a device including a qubit, a coupler component (e.g., a TCQ), and / or other quantum components, elements, or circuit devices in accordance with various aspects and embodiments of the disclosed subject matter is depicted. System 1400 may include a processor component 1402 and a data store 1404. According to various embodiments, processor component 1402 may include or be associated with (e.g., be communicatively connected to) a device forming component 1406 that may be used to create, form, or design various components of or associated with a device 1408 (or a system including one or more devices), including qubits, coupler components (e.g., a TCQ), and associated quantum components, elements, or circuit devices, such as described more fully herein. For example, device forming component 1406 may be used to create, form, or design various components of a device 1408 (or system) that may be formed or located on one or more chips 1410 (e.g., a quantum computer or (multiple) qubit device IC chips). The various components may include, for example, qubits 1412 , coupler components 1414 , JJs 1416 , SQUIDs 1418 , capacitors 1420 , CPW resonators 1422 , bump bonds 1424 , and / or associated circuitry 1426 .

[0133] Device forming component 1406 can form or process a substrate as part of and to facilitate the creation, formation, or design of various components of or associated with device 1408. In addition, device forming component 1406 can also form, deposit, remove (e.g., selectively remove or etch), pattern, or process materials, including silicon or silicon-based materials (e.g., dielectric materials), superconducting materials (e.g., niobium-based, indium-based, aluminum-based, or other desired superconducting materials), or other materials of device 1408, as part of and to facilitate the creation, formation, or design of various components and / or circuit devices of or associated with device 1408. For example, the device forming component 1406 can employ and / or can control various processes, including manufacturing processes, microfabrication processes, nanofabrication processes, material deposition processes (e.g., low pressure chemical vapor deposition (LPCVD) processes), mask or photoresist processes, photolithography processes, chemical etching processes (e.g., reactive ion etching (RIE) processes, potassium hydroxide (KOH) etching processes), other etching or removal processes, epitaxial processes, material strain processes, patterning processes, planarization processes (e.g., chemical mechanical planarization (CMP) processes), component forming processes, and / or other desired processes for desired formation, deposition, removal (e.g., selective removal or etching), patterning, or processing of materials to facilitate creation or formation of corresponding components or circuit devices of the device 1408.

[0134] The processor component 1402 may work in conjunction with other components (eg, data storage 1404 , device forming component 1406 , or another component) to facilitate execution of various functions of the system 1400 . Processor component 1402 may employ one or more processors, microprocessors, or controllers that may process data, such as information related to designing, creating, or forming a quantum computer, qubit 1412, coupler component 1414, JJ 1416, SQUID 1418, capacitor 1420, CPW resonator 1422, bump junction 1424, waveguide, electrode, filter, other component or device, and / or associated circuitry 1426, as well as information related to circuit design standards, circuit design algorithms, business flows, policies, protocols, interfaces, tools, and / or other information to facilitate operation of system 1400 as more fully disclosed herein, and to control the flow of data between system 1400 and other components associated with (e.g., connected to) system 1400 (e.g., computer components, computers, laptops, other computing or communication devices, or network devices).

[0135] The data store 1404 may store data structures (e.g., user data, metadata), code structure(s) (e.g., modules, objects, hashes, classes, procedures) or instructions, information related to designing, creating, or forming a quantum computer, qubits 1412, coupler components 1414, JJs 1416, SQUIDs 1418, capacitors 1420, CPW resonators 1422, bump joints 1424, waveguides, electrodes, filters, other components or devices, and / or associated circuit 1426 devices, as well as information related to circuit design standards, circuit design algorithms, business flows, policies, protocols, interfaces, tools, and / or other information to facilitate controlling operations associated with the system 1400. In an aspect, the processor component 1402 may be functionally coupled (e.g., via a memory bus) to a data store 1404 to store and retrieve information desired to operate and / or at least partially impart functionality to the data store 1404, the device forming component 1406, or other components, and / or substantially any other operational aspect of the system 1400. The data store 1404 described herein may include volatile memory and / or non-volatile memory, such as described herein.

[0136] This paper has (or will) described system and / or equipment about the interaction between several parts.It should be understood that such system and parts can include those parts or sub-components specified therein, some parts and / or additional parts in the parts or sub-components specified.Sub-components can also be implemented as being coupled to other parts rather than being included in the parts in the parent part.In addition, one or more parts and / or sub-components can be combined into a single part that provides aggregation function.These parts can also interact with one or more other parts, and for the sake of brevity, these other parts are not specifically described herein, but it is known by those skilled in the art.

[0137] Fig.15 A flow chart of an example non-limiting method 1500 that can employ TCQ pairs to control interaction, coupling, or gating between components of a quantum circuit device in accordance with various aspects and embodiments of the disclosed subject matter is shown. The method 1500 can be performed, for example, by a system that includes or is operably coupled to a TCQ pair. For the sake of brevity, repeated descriptions of similar elements employed in other embodiments described herein are or may be omitted.

[0138] At 1502, a first electronic component may be selectively coupled to a first TCQ based on a first mode operable on the first TCQ, where the first mode may be associated with a first frequency. In some embodiments, the first electronic component may be a qubit (e.g., a transport qubit, a quadrupole transport qubit, or other type of qubit), although in other embodiments, the first electronic component may be a different type of component, such as a resonator.

[0139] At 1504, the first TCQ may be selectively coupled to the second TCQ based on a second mode operable on the first TCQ and a third mode operable on the second TCQ, wherein the second mode may be associated with a second frequency, and wherein the third mode may be associated with a third frequency. The third frequency may be different from or the same as the second frequency (and may be different from the first frequency). In some embodiments, the second TCQ may be selectively coupled to a second electronic element (e.g., a qubit, a resonator, or other type of component) based on a fourth mode operable on the second TCQ, wherein the fourth mode may be associated with a fourth frequency, which may be different from or the same as the first frequency (and may be different from the third frequency and the second frequency). Respective selective coupling between respective components (e.g., the first electronic element, the first TCQ, the second TCQ, and / or the second electronic element) may be controlled (e.g., enabled or permitted; or inhibited or eliminated) based on respective magnetic fluxes or respective modifications to respective magnetic fluxes, which may be applied to the first TCQ and the second TCQ by respective coil components, such as described herein.

[0140] Fig.16 A flow chart depicts another example non-limiting method 1600 that can employ a coupler component pair (e.g., TCQ) to control interaction, coupling, or gating between components of a quantum circuit in accordance with various aspects and embodiments of the disclosed subject matter. For example, method 1600 can be performed by a system that includes or is operably coupled to a TCQ pair. For the sake of brevity, repeated descriptions of similar elements employed in other embodiments described herein are or may be omitted.

[0141] At 1602, a first magnetic flux may be applied to a first coupler component that may be associated with a first electronic component via a first mode associated with a first frequency, and associated with a second coupler component via a second mode associated with a second frequency and a third mode associated with a third frequency. At 1604, a second magnetic flux may be applied to a second coupler component that may be associated with a second electronic component via a fourth mode associated with a fourth frequency. The first coupler component may include a first mode associated with the first frequency (e.g., an "A" mode) and a second mode associated with the second frequency (e.g., a "B" mode). The second coupler component may include a third mode associated with the third frequency (e.g., another "B" mode) and a fourth mode associated with the fourth frequency (e.g., another "A" mode).

[0142] The first coupler component can be selectively coupled to or otherwise associated with a first electronic element (e.g., a qubit, a resonator, or other type of electronic element) based on a first mode operable on the first coupler component. At the other end of the first coupler component, the first coupler component can be selectively coupled to or otherwise associated with a second coupler component based on a second mode operable on the first coupler component and a third mode operable on the second coupler component. At the other end of the second coupler component, the second coupler component can be selectively coupled to or otherwise associated with a second electronic element (e.g., a qubit, a resonator, or other type of electronic element) based on a fourth mode operable on the second coupler component.

[0143] The first coil component may generate a first magnetic flux based on a first input current and may apply the first magnetic flux to the first coupler component. The second coil component may generate a second magnetic flux based on a second input current and may apply the second magnetic flux to the second coupler component.

[0144] At 1606, based on the respective modes of the first coupler component and the second coupler component, and based on applying the first magnetic flux to the first coupler component and applying the second magnetic flux to the second coupler component, interaction and coupling between the first electronic component and the second electronic component can be suppressed. The first magnetic flux applied to the first SQUID of the first coupler component can be a first magnetic flux that can make the critical current of the first SQUID and the first energy (e.g., the first Josephson energy) associated with the first SQUID equal to or at least substantially equal to the critical current of the JJ of the first coupler component, and correspondingly equal to or at least substantially equal to the second energy (e.g., the second Josephson energy) associated with the JJ. The second magnetic flux applied to the second SQUID of the second coupler component can be a second magnetic flux that can make the critical current of the second SQUID and the third energy (e.g., the third Josephson energy) associated with the second SQUID equal to or at least substantially equal to the critical current of the JJ of the second coupler component, and correspondingly equal to or at least substantially equal to the fourth energy (e.g., the fourth Josephson energy) associated with the JJ. Thus, there can be a balance of the first energy and the second energy associated with the first coupler component, and a balance of the third energy and the fourth energy associated with the second coupler component, which can provide and / or implement the desired mode selective coupling associated with the first coupler component and the second coupler component, and which can thereby cause or create a desired suppression (e.g., elimination) of interaction or coupling (e.g., ZZ, static ZZ and / or exchange interaction or coupling) between the first electronic component and the second electronic component to substantially or approximately zero interaction or coupling.

[0145] At 1608, the first magnetic flux can be modified to a first modified magnetic flux. At 1610, the second magnetic flux can be modified to a second modified magnetic flux. At 1612, the first modified magnetic flux can be applied to the first coupler component. At 1614, the second modified magnetic flux can be applied to the second coupler component. The first coil component can modify the first magnetic flux to a first modified magnetic flux based on a modified first input current that can be input to the first coil component. The first coil component can apply the first modified magnetic flux to the first coupler component. The second coil component can modify the second magnetic flux to a second modified magnetic flux based on a modified second input current that can be input to the second coil component. The second coil component can apply the second modified magnetic flux to the second coupler component.

[0146] At 1616, an interaction, coupling, and / or gating between the first electronic component and the second electronic component can be created based on the respective modes of the first coupler component and the second coupler component, and based on applying a first modified magnetic flux to the first coupler component and applying a second modified magnetic flux to the second coupler component. Modifying (e.g., changing or adjusting) the first magnetic flux to the first modified magnetic flux of the first SQUID applied to the first coupler component can create an imbalance between a first energy associated with the first SQUID (e.g., as modified based on the first modified magnetic flux) and a second energy of the JJ of the first coupler component, and excite a "B" mode of the first coupler component, which can change the mode selective coupling associated with the first coupler component so that the first electronic component can have a desired interaction or coupling with both the first mode and the second mode of the first coupler component.

[0147] Similarly, modifying the second magnetic flux to be a second modified magnetic flux being applied to the second SQUID of the second coupler component can create an imbalance between the third energy associated with the second SQUID (e.g., as modified based on the second modified magnetic flux) and the fourth energy of the JJ of the second coupler component, and excite the "B" mode of the second coupler component, which can change the mode selective coupling associated with the second coupler component so that the second electronic element can have a desired interaction or coupling with both the third mode and the fourth mode of the second coupler component. This change in the mode selective coupling associated with the first coupler component and the second coupler component can also create a desired coupling between the first coupler component and the second coupler component. Therefore, a desired interaction, coupling and / or gating (e.g., ZZ interaction or coupling, exchange interaction or coupling, exchange gating and / or CPHASE gating) can be created between the first electronic element and the second electronic element via the first coupler component and the second coupler component.

[0148] For the sake of simplicity of explanation, method and / or computer-implemented method are depicted and described as a series of actions. But it will be understood and understood that the disclosed subject matter is not limited by the actions and / or action order shown, for example, the actions can occur in various orders and / or concurrently, and can occur with other actions not presented and described herein. In addition, not all the actions shown may be required to realize the computer-implemented method according to the disclosed subject matter. In addition, those skilled in the art will understand and understand that the computer-implemented method can be alternatively represented as a series of interrelated states via state diagrams or events. In addition, it should also be understood that the computer-implemented method disclosed below and throughout this specification can be stored on a product to facilitate the transmission and transfer of such computer-implemented methods to a computer. The term product as used herein is intended to cover a computer program accessible from any computer-readable device or storage medium.

[0149] To provide context for various aspects of the disclosed subject matter, Fig.17 The following discussion is intended to provide a general description of a suitable environment in which various aspects of the disclosed subject matter may be implemented. Fig.17 A block diagram of an example non-limiting operating environment in which one or more embodiments described herein may be facilitated is shown. For the sake of brevity, repeated descriptions of similar elements employed in other embodiments described herein are or may be omitted. Fig.17, a suitable operating environment 1700 for implementing various aspects of the present disclosure may also include a computer 1712. The computer 1712 may also include a processing unit 1714, a system memory 1716, and a system bus 1718. The system bus 1718 couples system components including, but not limited to, the system memory 1716 to the processing unit 1714. The processing unit 1714 may be any of a variety of available processors. Dual microprocessors and other multi-processor architectures may also be used as the processing unit 1714. The system bus 1718 may be any of several types of (multiple) bus structures, including a memory bus or memory controller, a peripheral bus or external bus, and / or a local bus using any of a variety of available bus architectures, including, but not limited to, Industry Standard Architecture (ISA), Micro Channel Architecture (MSA), Extended ISA (EISA), Intelligent Drive Electronics (IDE), VESA Local Bus (VLB), Peripheral Component Interconnect (PCI), Card Bus, Universal Serial Bus (USB), Advanced Graphics Port (AGP), FireWire (IEEE 1394), and Small Computer System Interface (SCSI). The system memory 1716 may also include volatile memory 1720 and nonvolatile memory 1722. A basic input / output system (BIOS), which contains basic routines to transfer information between elements within the computer 1712, such as during startup, is stored in the nonvolatile memory 1722. By way of illustration and not limitation, the nonvolatile memory 1722 may include read-only memory (ROM), programmable ROM (PROM), electrically programmable ROM (EPROM), electrically erasable programmable ROM (EEPROM), flash memory, or nonvolatile random access memory (RAM) (e.g., ferroelectric RAM (FeRAM)). The volatile memory 1720 may also include random access memory (RAM), which acts as external cache memory. By way of illustration and not limitation, RAM is available in many forms such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), double data rate SDRAM (DDR SDRAM), enhanced SDRAM (ESDRAM), synchronous link DRAM (SLDRAM), direct Rambus RAM (DRRAM), direct Rambus dynamic RAM (DRDRAM), and Rambus dynamic RAM (RDRAM).

[0150] Computer 1712 may also include removable / non-removable, volatile / non-volatile computer storage media. For example, Fig.17Disk storage 1724 is shown. Disk storage 1724 may also include, but is not limited to, devices such as a magnetic disk drive, a floppy disk drive, a tape drive, a Jaz drive, a Zip drive, an LS-100 drive, a flash memory card, or a memory stick. Disk storage 1724 may also include storage media alone or in combination with other storage media, including, but not limited to, optical disk drives such as compact disk ROM devices (CD-ROMs), CD recordable drives (CD-R drives), CD rewritable drives (CD-RW drives), or digital versatile disk ROM drives (DVD-ROMs). To facilitate connecting disk storage 1724 to system bus 1718, a removable or non-removable interface, such as interface 1726, is typically used. Fig.17 Also depicted is software that acts as an intermediary between a user and the basic computer resources described in the appropriate operating environment 1700. Such software may also include, for example, an operating system 1728. The operating system 1728, which may be stored on disk storage 1724, is used to control and allocate the resources of the computer 1712. System applications 1730 utilize the management of resources by the operating system 1728 through program modules 1732 and program data 1734, for example, stored in the system memory 1716 or on the disk storage device 1724. It will be understood that the present disclosure can be implemented using various operating systems or combinations of operating systems. A user enters commands or information into the computer 1712 through (multiple) input devices 1736. Input devices 1736 include, but are not limited to, pointing devices such as mice, trackballs, styluses, touch pads, keyboards, microphones, joysticks, game pads, satellite dishes, scanners, TV tuner cards, digital cameras, digital video cameras, web cameras, and the like. These and other input devices are connected to the processing unit 1714 via (multiple) interface ports 1738 through the system bus 1718. Interface port(s) 1738 include, for example, serial ports, parallel ports, game ports, and universal serial bus (USB). Output device(s) 1740 use some of the same types of ports as input device(s) 1736. Thus, for example, a USB port may be used to provide input to computer 1712, and to output information from computer 1712 to output device 1740. Output adapter 1742 is provided to illustrate that there are some output devices 1740, such as monitors, speakers, and printers, among other output devices 1740, which require special adapters. By way of illustration and not limitation, output adapter 1742 includes graphics cards and sound cards that provide a method of connection between output device 1740 and system bus 1718. It should be noted that other devices and / or systems of devices provide both input and output capabilities, such as remote computer(s) 1744.

[0151] The computer 1712 can operate in a networked environment using logical connections to one or more remote computers, such as (multiple) remote computers 1744. (Multiple) remote computers 1744 can be computers, servers, routers, network PCs, workstations, microprocessor-based appliances, peer devices or other common network nodes, etc., and can also generally include many or all of the elements described with respect to the computer 1712. For simplicity, only the memory storage device 1746 is shown with the (multiple) remote computers 1744. (Multiple) remote computers 1744 are logically connected to the computer 1712 through a network interface 1748, and then physically connected via a communication connection 1750. The network interface 1748 includes a wired and / or wireless communication network, such as a local area network (LAN), a wide area network (WAN), a cellular network, etc. LAN technologies include fiber distributed data interface (FDDI), copper distributed data interface (CDDI), Ethernet, token ring, etc. WAN technologies include, but are not limited to, point-to-point links, circuit switching networks such as Integrated Services Digital Networks (ISDN) and variations thereon, packet switching networks, and Digital Subscriber Lines (DSL). Communication connection(s) 1750 refers to the hardware / software used to connect the network interface 1748 to the system bus 1718. Although for clarity of illustration, the communication connection 1750 is shown as being internal to the computer 1712, it may also be external to the computer 1712. For exemplary purposes only, the hardware / software used to connect to the network interface 1748 may also include internal and external technologies such as modems including conventional telephone-grade modems, cable modems, and DSL modems, ISDN adapters, and Ethernet cards.

[0152] One or more embodiments may be systems, methods, devices and / or computer program products at any possible level of technical detail integration. A computer program product may include a computer-readable storage medium (or multiple media) having computer-readable program instructions thereon, which are used to cause a processor to perform various aspects of one or more embodiments. A computer-readable storage medium may be a tangible device that can retain and store instructions used by an instruction execution device. A computer-readable storage medium may be, for example but not limited to, an electronic storage device, a magnetic storage device, an optical storage device, an electromagnetic storage device, a semiconductor storage device, or any suitable combination of the foregoing. A non-exhaustive list of more specific examples of computer-readable storage media may include the following: a portable computer disk, a hard disk, a RAM, a ROM, an erasable programmable read-only memory (EPROM or flash memory), an SRAM, a portable CD-ROM, a digital versatile disk (DVD), a memory stick, a floppy disk, a mechanical encoding device such as a punch card or a raised structure in a groove with instructions recorded thereon, and any suitable combination of the foregoing. Computer-readable storage media as used herein should not be interpreted as transient signals themselves, such as radio waves or other freely propagating electromagnetic waves, electromagnetic waves propagating through waveguides or other transmission media (e.g., light pulses propagating through fiber optic cables), or electrical signals transmitted through wires.

[0153] The computer-readable program instructions described herein can be downloaded from a computer-readable storage medium to a corresponding computing / processing device, or downloaded to an external computer or external storage device via a network (e.g., the Internet, a local area network, a wide area network, and / or a wireless network). The network can include copper transmission cables, optical transmission optical fibers, wireless transmissions, routers, firewalls, switches, gateway computers, and / or edge servers. The network adapter card or network interface in each computing / processing device receives computer-readable program instructions from the network, and forwards computer-readable program instructions for storage in a computer-readable storage medium in a corresponding computing / processing device. The computer-readable program instructions for performing the operation of the disclosed subject matter can be assembly instructions, instruction set architecture (ISA) instructions, machine instructions, machine-related instructions, microcodes, firmware instructions, state setting data, configuration data for an integrated circuit device, or source code or object code written in any combination of one or more programming languages, including object-oriented programming languages ​​(e.g., Smalltalk, C++, etc.) and process programming languages ​​(e.g., "C" programming languages ​​or similar programming languages). The computer-readable program instructions may be executed entirely on the user's computer, partially on the user's computer, as an independent software data package, partially on the user's computer and partially on a remote computer, or entirely on a remote computer or server. In the latter case, the remote computer may be connected to the user's computer via any type of network, including a local area network (LAN) or a wide area network (WAN), or may be connected to an external computer (e.g., via the Internet using an Internet service provider). In some embodiments, an electronic circuit device including, for example, a programmable logic circuit device, a field programmable gate array (FPGA), or a programmable logic array (PLA) may execute computer-readable program instructions to personalize the electronic circuit device by utilizing the state information of the computer-readable program instructions so as to perform various aspects of the disclosed subject matter.

[0154] This paper describes various aspects of the disclosed subject matter with reference to the flowchart illustration and / or block diagram of the method, device (system) and computer program product according to the embodiment of the subject matter disclosure. It will be understood that each frame of the flowchart illustration and / or block diagram and the combination of the frames in the flowchart illustration and / or block diagram can be realized by computer-readable program instructions. These computer-readable program instructions can be provided to the processor of a general-purpose computer, a special-purpose computer or other programmable data processing device to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing device create a method for realizing the function / action specified in one or more frames of the flowchart and / or block diagram. These computer-readable program instructions can also be stored in a computer-readable storage medium, which can guide a computer, a programmable data processing device and / or other equipment to run in a specific manner, so that the computer-readable storage medium with instructions stored thereon includes a product, and the product includes instructions for realizing various aspects of the function / action specified in one or more frames of the flowchart and / or block diagram. Computer-readable program instructions may also be loaded onto a computer, other programmable data processing apparatus, or other device, so that a series of operational actions are performed on the computer, other programmable apparatus, or other device to produce a computer-implemented process, so that the instructions executed on the computer, other programmable apparatus, or other device implement the functions / actions specified in one or more boxes of the flowchart and / or block diagram.

[0155] The flowcharts and block diagrams in the accompanying drawings illustrate the possible implementation architectures, functions and operations of the systems, methods and computer program products according to various embodiments of the disclosed subject matter. In this regard, each frame in the flowchart or block diagram may represent a module, segment or part of an instruction, which includes one or more executable instructions for implementing a specified (multiple) logical function. In some alternative embodiments, the functions noted in the frame may not occur in the order noted in the accompanying drawings. For example, depending on the functions involved, two frames displayed continuously may be executed substantially simultaneously, or these frames may sometimes be executed in reverse order. It will also be noted that each frame illustrated in the block diagram and / or flowchart and the combination of frames in the block diagram and / or flowchart may be implemented by a dedicated hardware-based system that performs a specified function or action or performs a combination of dedicated hardware and computer instructions.

[0156] Although the subject matter is described above in the general context of computer executable instructions of a computer program product running on one and / or multiple computers, those skilled in the art will recognize that the present disclosure may also be implemented in conjunction with other program modules. Typically, program modules include routines, programs, components, data structures, etc. that perform specific tasks and / or implement specific abstract data types. In addition, those skilled in the art will appreciate that the computer-implemented methods disclosed herein may be practiced using other computer system configurations, including single-processor or multi-processor computer systems, small computing devices, large computers, and computers, handheld computing devices (e.g., PDAs, phones), microprocessor-based or programmable consumer or industrial electronics, etc. The various aspects shown may also be practiced in a distributed computing environment in which tasks are performed by a remote processing device linked by a communication network. However, some aspects of the present disclosure, if not all aspects thereof, may be practiced on a stand-alone computer. In a distributed computing environment, program modules may be located in a local memory storage device and a remote memory storage device.

[0157] As used in this application, the terms "component", "system", "platform", "interface", etc. may refer to and / or may include computer-related entities or entities related to an operating machine with one or more specific functions. The entities disclosed herein may be hardware, a combination of hardware and software, software, or software in execution. For example, a component may be, but is not limited to, a process, a processor, an object, an executable file, an execution thread, a program, and / or a computer running on a processor. By way of illustration, both an application running on a server and a server may be a component. One or more components may reside in a process and / or a thread of execution, and a component may be located on a computer and / or distributed between two or more computers. In another example, a corresponding component may be executed from various computer-readable media having various data structures stored thereon. These components may communicate via local and / or remote processes, such as according to a signal with one or more data packets (e.g., data from a component, which interacts with another component in a local system, a distributed system, and / or interacts with other systems across a network such as the Internet via the signal). As another example, a component may be a device having a specific function provided by a mechanical component operated by an electrical or electronic circuit device, which is operated by a software or firmware application executed by a processor. In this case, the processor may be internal or external to the device and may execute at least part of the software or firmware application. As yet another example, a component may be a device that provides a specific function by an electronic component rather than a mechanical component, wherein the electronic component may include a processor or other method for executing the software or firmware that at least partially imparts the function to the electronic component. In one aspect, the component may simulate the electronic component via a virtual machine, such as within a cloud computing system.

[0158] In addition, the term "or" is intended to mean an inclusive "or" rather than an exclusive "or". In other words, unless otherwise specified or clear from the context, "X employs A or B" is intended to mean any natural inclusive arrangement. In other words, if X employs A; X employs B; or X employs both A and B, "X employs A or B" is satisfied under any of the foregoing instances. In addition, unless otherwise specified or clear from the context that it is directed to a singular form, the articles "one" and "an" as used in this specification and the drawings should generally be interpreted to mean "one or more". As used herein, the terms "example" and / or "exemplary" are used to mean used as an example, instance, or illustration. For the avoidance of doubt, the subject matter disclosed herein is not limited to these examples. In addition, any aspect or design described herein as "example" and / or "exemplary" is not necessarily to be interpreted as being preferred or advantageous over other aspects or designs, nor is it meant to exclude equivalent exemplary structures and techniques known to those of ordinary skill in the art.

[0159] As used in this subject specification, the term "processor" may refer to substantially any computational processing unit or device, including but not limited to: a single-core processor; a single processor with software multithreaded execution capability; a multi-core processor; a multi-core processor with software multithreaded execution capability; a multi-core processor with hardware multithreading technology; a parallel platform; and a parallel platform with distributed shared memory. In addition, a processor may refer to an integrated circuit, an application-specific integrated circuit (ASIC), a digital signal processor (DSP), a field programmable array (FPGA), a programmable logic controller (PLC), a complex programmable logic device (CPLD), discrete gated or transistor logic, discrete hardware components, or any combination thereof, designed to perform the functions described herein. In addition, the processor may employ a nanoscale architecture, such as, but not limited to, transistors, switches, and gates based on molecules and quantum dots, in order to optimize space usage or enhance the performance of user devices. The processor may also be implemented as a combination of computational processing units. In the present disclosure, terms such as "storage", "storage device", "data storage", "data storage device", "database", and substantially any other information storage component related to the operation and function of the component are used to refer to a "memory component", an entity embodied in a "memory", or a component including a memory. It will be understood that the memory and / or memory components described herein may be volatile memory or non-volatile memory, or may include both volatile and non-volatile memory. By way of illustration and not limitation, non-volatile memory may include ROM, PROM, EPROM, EEPROM, flash memory, or non-volatile RAM (e.g., FeRAM). Volatile memory may include RAM, for example, which may act as an external cache memory. By way of illustration and not limitation, RAM may be available in many forms, such as SRAM, DRAM, SDRAM, DDR SDRAM, ESDRAM, SLDRAM, DRRAM, DRDRAM, and RDRAM. In addition, the memory components of the systems or computer-implemented methods disclosed herein are intended to include, but are not limited to, these and any other suitable types of memory.

[0160] The above description only includes examples of systems and computer-implemented methods. Of course, it is impossible to describe every conceivable combination of components or computer-implemented methods for the purpose of describing the present disclosure, but those of ordinary skill in the art will recognize that many further combinations and permutations of the present disclosure are possible. In addition, with respect to the use of the terms "including", "having", "having", etc. in the specific embodiments, claims, appendices, and drawings, these terms are intended to be inclusive in a manner similar to the way the term "comprising" is interpreted when used as a transitional word in the claims. Descriptions of various embodiments have been presented for illustrative purposes, but are not intended to be exhaustive or limited to the disclosed embodiments. Without departing from the scope and spirit of the described embodiments, many modifications and changes will be apparent to those of ordinary skill in the art. The terms used herein are selected to best explain the principles of the embodiments, practical applications, or technical improvements to the technologies present on the market, or to enable other persons of ordinary skill in the art to understand the embodiments disclosed herein.

Claims

1. A system comprising: First quantum component; as well as A first coupler qubit operable in a first mode associated with a first frequency and in a second mode associated with a second frequency, wherein the first coupler qubit is selectively coupled to the first quantum component based on the first mode, wherein the first coupler qubit is selectively coupled to the second coupler qubit based on the second mode and based on a third mode operable on the second coupler qubit, and wherein the third mode is associated with a third frequency.

2. The system of claim 1 , wherein the first quantum component is a first qubit, wherein the second coupler qubit is operable in a fourth mode associated with a fourth frequency, and wherein the system further comprises: A second qubit, wherein the second coupler qubit is selectively coupled to the second qubit based on the fourth mode.

3. The system according to claim 2, wherein: Based on the first coupler qubit being selectively coupled to the first qubit via the first mode, the first coupler qubit being selectively coupled to the second coupler qubit via the second mode and the third mode, and the second coupler qubit being selectively coupled to the second qubit via the fourth mode, a ZZ interaction and a static ZZ interaction between the first qubit and the second qubit are suppressed, and an exchange interaction between the first qubit and the second qubit is suppressed for a limited frequency range associated with the first qubit and the second qubit.

4. The system of any one of the preceding claims, wherein the first coupler qubit comprises: A Josephson junction and a superconducting quantum interference device associated with the Josephson junction, and wherein the superconducting quantum interference device flux is tunable.

5. The system according to any one of the preceding claims, further comprising: A capacitor component includes a first plate and a second plate, wherein the first plate is connected to the first coupler qubit, and wherein the second plate is connected to the second coupler qubit.

6. The system according to any one of the preceding claims, further comprising: a first capacitor component, the first capacitor component comprising a first plate and a second plate; a second capacitor component, the second capacitor component comprising a third plate and a fourth plate; as well as A coplanar waveguide resonator comprising a first port and a second port, wherein the first plate is connected to the first coupler qubit, wherein the second plate is connected to the first port, wherein the third plate is connected to the second port, and wherein the fourth plate is connected to the second coupler qubit.

7. The system according to claim 6, further comprising: a first tube die and a second tube die; as well as A raised bond is provided wherein the first coupler qubit, the first capacitor component, and a first portion of the coplanar waveguide resonator are on the first die, wherein the second coupler qubit, the second capacitor component, and a second portion of the coplanar waveguide resonator are on the second die, and wherein the first portion of the coplanar waveguide resonator and the second portion of the coplanar waveguide resonator are connected via the raised bond.

8. The system according to any one of the preceding claims, further comprising: a third coupler qubit; a set of capacitor components, the set of capacitor components comprising: a first capacitor component, a second capacitor component, and a third capacitor component; as well as A bus component associated with the set of capacitor components, wherein the first coupler qubit is associated with the first capacitor component, wherein the second coupler qubit is associated with the second capacitor component, and wherein the third coupler qubit is associated with the third capacitor component.

9. The system of claim 8, wherein the first capacitor component comprises a first plate and a second plate, wherein the second capacitor component comprises a third plate and a fourth plate, wherein the third capacitor component comprises a fifth plate and a sixth plate, wherein the first plate is connected to the first coupler qubit, wherein the third plate is connected to the second coupler qubit, wherein the fifth plate is connected to the third coupler qubit, and wherein the second plate, the fourth plate, and the sixth plate are connected to the bus component.

10. The system according to claim 8, further comprising: a first coplanar waveguide resonator, the first coplanar waveguide resonator comprising a first port and a second port; a second coplanar waveguide resonator, the second coplanar waveguide resonator comprising a third port and a fourth port; or a third coplanar waveguide resonator, the third coplanar waveguide resonator comprising a fifth port and a sixth port, wherein the first capacitor component comprises a first plate and a second plate, the second capacitor component comprises a third plate and a fourth plate, or the third capacitor component comprises a fifth plate and a sixth plate, wherein the first plate is connected to the first coupler qubit, the third plate is connected to the second coupler qubit, or the fifth plate is connected to the third coupler qubit, wherein the second plate is connected to the first port, the fourth plate is connected to the third port, or the sixth plate is connected to the fifth port, and wherein the second port, the fourth port, or the sixth port is connected to the bus component.

11. The system of any one of the preceding claims, wherein the first quantum component is a quadrupole transmission qubit, wherein the quadrupole transmission qubit comprises a first capacitor pad, a second capacitor pad, a third capacitor pad, a fourth capacitor pad associated with a Josephson junction, wherein the second quantum component is a second coupler qubit, and wherein the system further comprises: a third coupler qubit; as well as a fourth coupler qubit, wherein the first capacitor pad and the second capacitor pad of the quadrupole transmission qubit are associated with the first coupler qubit, wherein the second capacitor pad and the third capacitor pad of the quadrupole transmission qubit are associated with the third coupler qubit, or wherein the third capacitor pad and the fourth capacitor pad of the quadrupole transmission qubit are associated with the fourth coupler qubit.

12. A method comprising: selectively coupling a first electronic component to a first tunable coupler qubit based on a first mode operable on the first tunable coupler qubit, wherein the first mode is associated with a first frequency; as well as The first tunable coupler qubit is selectively coupled to a second tunable coupler qubit based on a second mode operable on the first tunable coupler qubit and a third mode operable on the second tunable coupler qubit, wherein the second mode is associated with a second frequency and wherein the third mode is associated with a third frequency.

13. The method of claim 12, wherein the first electronic element is a first qubit, wherein the second tunable coupler qubit is operable in a fourth mode associated with a fourth frequency, and wherein the method further comprises: Based on the fourth mode, the second tunable coupler qubit is selectively coupled to a second qubit.

14. The method according to claim 13, further comprising: Applying magnetic flux to a first superconducting quantum interference device of the first tunable coupler qubit, wherein the application of the magnetic flux enables a first critical current associated with the first superconducting quantum interference device to be equal to, or substantially equal to, a second critical current associated with a Josephson junction of the first tunable coupler qubit.

15. The method according to claim 14, further comprising: Based on the first critical current associated with the first superconducting quantum interference device being equal to, or substantially equal to, the second critical current associated with the Josephson junction, at least one of the following items is eliminated: ZZ coupling, static ZZ coupling, or exchange coupling between the first quantum bit and the second quantum bit.

16. The method of claim 14, wherein the first superconducting quantum interference device enables the first tunable coupler qubit to be flux tunable, wherein the second superconducting quantum interference device of the second tunable coupler qubit enables the second tunable coupler qubit to be flux tunable, wherein the magnetic flux is a first magnetic flux, wherein the Josephson junction is a first Josephson junction, and wherein the method further comprises: modifying the first magnetic flux of the first superconducting quantum interference device applied to the first tunable coupler qubit; creating a first imbalance between a first energy associated with the first Josephson junction and a second energy associated with the first superconducting quantum interference device based on the modification of the first magnetic flux; modifying a second magnetic flux of a second superconducting quantum interference device applied to the second tunable coupler qubit, wherein the second tunable coupler qubit comprises: a second Josephson junction associated with the second superconducting quantum interference device; creating a second imbalance between a third energy associated with the second Josephson junction and a fourth energy associated with the second superconducting quantum interference device based on the modification of the second magnetic flux; and Based on the first imbalance and the second imbalance, entanglement gating between the first quantum bit and the second quantum bit is established.

17. The method according to claim 16, further comprising: Based on the establishment of the entanglement gating: establishing a first exchange coupling between the first qubit and the first tunable coupler qubit; establishing a second exchange coupling between the second qubit and the second tunable coupler qubit; as well as establishing a third exchange coupling between the first tunable coupler qubit and the second tunable coupler qubit; as well as Based on the first exchange coupling, the second exchange coupling, and the third exchange coupling, a ZZ coupling is generated between the first qubit and the second qubit.

18. The method according to claim 17, wherein: Based on the first exchange coupling, the second exchange coupling, and the third exchange coupling, controlled phase gating between the first qubit and the second qubit is enabled.

19. A device comprising: a first electronic component; a first tunable coupler qubit structured to be usable in a first oscillation mode and a second oscillation mode, wherein the first tunable coupler qubit is selectively coupled to the first electronic component based on the first mode; as well as A second tunable coupler qubit is structured to be usable in a third oscillation mode and a fourth oscillation mode, wherein the first tunable coupler qubit is selectively coupled to the second tunable coupler qubit based on the second mode and the third mode.

20. The apparatus of claim 19, wherein the first electronic component is a first qubit, wherein the first mode is associated with a first frequency, the second mode is associated with a second frequency, the third mode is associated with a third frequency, and the fourth mode is associated with a fourth frequency, and wherein the system further comprises: a second qubit, wherein the second tunable coupler qubit is selectively coupled to the second qubit based on the fourth mode, and Wherein, based on the first tunable coupler qubit being selectively coupled to the first qubit via the first mode, the first tunable coupler qubit being selectively coupled to the second tunable coupler qubit via the second mode and the third mode, and the second tunable coupler qubit being selectively coupled to the second qubit via the fourth mode, a ZZ interaction or a static ZZ interaction between the first qubit and the second qubit is eliminated, and an exchange interaction between the first qubit and the second qubit is eliminated for a frequency-defined range associated with the first qubit and the second qubit.

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