A method for preparing multiple pairs of static entanglement based on two-photon high-dimensional time-bin entanglement distribution

Abstract

This invention discloses a method for preparing many-to-many static entangled states based on two-photon high-dimensional time-bin entanglement distribution. In a distributed system containing N quantum nodes, each node containing m static qubits, this method utilizes entangled photon pairs encoded in a high-dimensional time-bin, combined with programmable optical switches at each node, to control the selective interaction between photons and specific static qubits. This allows photons to sequentially pass through each node along two paths, constructing a hybrid entangled state between the photon and all static qubits. Subsequently, generalized X-basis measurements are performed on the photon pairs, causing projection collapse of the static qubit system. Finally, phase correction is performed to prepare standard-form many-to-many static entangled states in parallel. This invention achieves efficient parallel generation of nonlocal many-to-many entanglement using only a single high-dimensional encoded entangled photon pair, significantly reducing the impact of photon transmission loss and effectively reducing the required photon resources, time resources, and quantum memory coherence time requirements.

Description

Technical Field

[0001] This invention belongs to the field of quantum information technology, and in particular to a method for preparing many-to-many static entanglement based on two-photon high-dimensional time chamber entanglement distribution. Background Technology

[0002] Quantum entanglement, as a core resource in quantum information processing, enables the sharing of quantum states among spatially separated particles due to its non-local correlation properties. It forms the technological foundation for applications such as quantum communication, distributed quantum computing, and quantum precision measurement. With the deepening research into quantum networks, how to efficiently construct and manipulate multi-body entangled states among multiple spatially distributed quantum nodes has become one of the key issues restricting the development of large-scale quantum networks. In practical systems, photons are generally considered ideal carriers for quantum entanglement distribution due to their advantages such as high propagation speed, weak interaction with the environment, and ease of manipulation and detection. However, photons suffer unavoidable losses in transmission channels such as optical fibers, and their transmission efficiency decreases exponentially with distance, severely limiting the success rate and application scope of long-distance quantum entanglement distribution.

[0003] To address the aforementioned issues, existing technologies typically employ a segmented entanglement distribution scheme based on quantum repeaters. This involves dividing a long-distance channel into several short-distance links, establishing entanglement between adjacent nodes, and gradually expanding the entanglement range through entanglement purification and entanglement swapping. This type of method requires the configuration of quantum memories in the relay nodes to buffer photons arriving at different times for subsequent operations. However, as the transmission distance increases, the physical resources required by this scheme (including the number of photons, the number of quantum memories, and the number of operations) grow exponentially. Furthermore, multiple intermediate operations introduce additional errors, leading to a significant decrease in overall success rate and entanglement fidelity.

[0004] Another type of method is based on single-photon-mediated inter-node interactions, where a single entangled photon interacts sequentially with static qubits in multiple quantum nodes to establish nonlocal entanglement between different nodes. Although this type of scheme can be extended to generate multiple pairs of entangled states, it typically relies on multiple independent entanglement processes with independent success probabilities. This results in successfully established entangled pairs needing to wait for other entangled pairs to complete, significantly increasing system latency and placing high demands on the coherence time of qubits and quantum memories, thus limiting its practicality.

[0005] In experimental research, existing work has verified the efficient coupling mechanism between photons and solid-state qubits. For example, studies based on systems such as diamond color centers have shown that single photons can achieve quantum entanglement with localized electron spins, and this can be further extended to the establishment of entanglement between distant nodes. Building on this, researchers have proposed a scheme to prepare multiple pairs of entangled states by sequentially passing a single photon through multiple quantum nodes, and to improve parallelism through encoding methods. Furthermore, the single-photon scheme that introduces high-dimensional time-bin encoding can improve the entanglement distribution efficiency to a certain extent, enabling the flexible construction of multiple pairs of entangled states.

[0006] However, the above methods still have the following shortcomings: on the one hand, the single-photon-based scheme is still limited in terms of resource utilization efficiency and resistance to decoherence; on the other hand, in the process of parallel generation of multiple nodes and multiple pairs of entanglement, the requirements for system synchronization and quantum memory coherence time are high. Therefore, it is of great significance to study a low-resource-consumption, high-efficiency, and parallelizable multi-body entanglement preparation method. Summary of the Invention

[0007] The purpose of this invention is to propose a two-photon entanglement distribution method based on high-dimensional time bin coding to solve the problems of low single-photon resource utilization, channel loss limitation on preparation efficiency, and high requirements for quantum memory coherence time in the existing distributed multi-body entanglement preparation process, thereby realizing efficient parallel preparation of multiple pairs of multi-body entangled states between multiple nodes.

[0008] The technical solution to achieve the purpose of this invention is: a method for preparing many-to-many static entanglement based on two-photon high-dimensional time-bin entanglement distribution, applicable to a distributed system containing N quantum nodes, each quantum node containing m static qubits, the method comprising the following steps:

[0009] Step 1: Obtain photon pairs in a high-dimensional time-bin entangled state and map the time-bin state of the photon pairs into binary encoded information;

[0010] Step 2: Control the two photons in the photon pair to travel along different paths, so that each photon passes through the corresponding quantum node in sequence. Each quantum node has an optical switch in front of the static qubit. The optical switch controls whether the passing photon interacts with the corresponding static qubit according to the binary encoding information, so as to build a hybrid entangled state between the photon pair and the static qubit of each quantum node.

[0011] Step 3: After the two photons pass through all the target quantum nodes, perform generalized X-basis measurements on the two photons independently to cause the static qubit system to undergo projection collapse, forming a multi-body entangled state of the static qubits between multiple quantum nodes;

[0012] Step 4: Based on the measurement results of the generalized X-basis measurement, perform phase correction on the static qubits in at least one quantum node to obtain a standard form of many-body entangled state.

[0013] Furthermore, the photon pair is in a d-dimensional time-space entangled state, where the dimension... Its quantum state is represented as :

[0014]

[0015] In the formula, Indicates that the photon is in the first position. A time capsule ; Indicates that photon a is in the first position. A time capsule This indicates that photon b is in the position of the first photon. Each time slot, the binary encoded information is used to index the time slot. The resulting m-bit binary number is represented as The k-th bit , k=0,1,...,m-1.

[0016] Furthermore, in step 2, the two photons pass through the quantum node sequentially along different paths, specifically: one path of photons passes through... One quantum node, another path of photons passes through sequentially Quantum nodes, of which This indicates rounding down. This indicates rounding up to the nearest integer.

[0017] Furthermore, the operating state of the optical switch is related to each bit in the m-bit binary number. One-to-one correspondence; when When =1, the optical switch controls the photon to be in a reflected state, causing the photon to interact with the corresponding k-th static qubit and flip it; when When =0, the optical switch controls the photon to be in a transmission state, and the photon does not interact with the corresponding k-th static qubit.

[0018] Furthermore, all quantum nodes adopt the same optical switching encoding rule, so that static qubits corresponding to the same time slot undergo the same quantum evolution on different quantum nodes, thereby establishing a consistent state association between static qubits numbered at the same position in different quantum nodes.

[0019] Furthermore, the quantum state form of the hybrid entangled state described in step 2 is expressed as follows: :

[0020]

[0021] In the formula, Indicates that the photon pair is in the first position A time capsule This represents the state of the m-th static quantum in a quantum node. Describe the states of m static quantum systems, which are related to... The corresponding m-bit binary number is the same.

[0022] Furthermore, in step 3, the generalized X-basis measurement is performed independently on the two photons. Specifically, the time chamber degrees of freedom of the photons are projected onto the Fourier basis using the discrete Fourier transform, thereby converting the hybrid entangled state into m sets of parallel-generated N-body static quantum entangled states.

[0023] Furthermore, the measurement basis corresponding to the discrete Fourier transform is represented as follows: :

[0024]

[0025] In the formula, ;

[0026] When the generalized X-basis measurement result of the two photons is k, the system collapses into a many-body entangled state containing a phase factor.

[0027] Further, in step 4, the phase correction specifically involves: selecting the last quantum node that interacts with the photon, and applying a corresponding single-bit phase gate operation to the corresponding static qubit in the selected quantum node based on the measurement results of the generalized X-basis measurement, in order to eliminate the non-target phase factor introduced by the measurement.

[0028] Furthermore, the standard form of multibody entangled state prepared in step 4 is a standard Bell state when m=2 and a standard GHZ-type entangled state when m>2.

[0029] Compared with the prior art, the significant advantages of this invention are:

[0030] (1) This invention can prepare multiple pairs of multi-body static entangled states in parallel across multiple quantum nodes using only a pair of high-dimensional encoded entangled photons. This effectively avoids the dependence of traditional schemes on a large number of independent photon resources, significantly improves the efficiency of photon resource utilization, and reduces the impact of channel loss on the success rate of preparation.

[0031] (2) The present invention adopts a parallel preparation mechanism, which effectively avoids the waiting problem caused by the traditional single-pair entanglement successive preparation. It does not require the synchronous completion of multiple independent entanglement processes, thereby significantly reducing the coherence time requirements of quantum memory and qubit.

[0032] (3) In this invention, the encoding dimension d of the photon is strictly related only to the number of entangled pairs m generated by the target. The value is completely independent of the number of quantum nodes N in the network, which makes it more advantageous to expand nodes in large-scale distributed quantum networks and has good system scalability.

[0033] (4) By introducing two-photon synergy to replace the traditional single-photon scheme, hybrid entanglement can be efficiently constructed and projection collapse can be completed in a short time, effectively shortening the overall evolution cycle, thereby reducing the error caused by system decoherence and improving the fidelity of the final static entangled state.

[0034] (5) This method can achieve parallel distribution of multi-body entanglement between multiple nodes in a single photon transmission and measurement process through the synergistic effect of high-dimensional encoded photon pairs and controllable optical switches, and is suitable for the construction of large-scale distributed quantum networks.

[0035] The present invention will now be described in further detail with reference to the accompanying drawings. Attached Figure Description

[0036] Figure 1 This is a flowchart of a method for preparing multi-to-multi-body static entanglement based on two-photon high-dimensional time-bin entanglement distribution.

[0037] Figure 2 This is a schematic diagram of the optical path in one embodiment. Detailed Implementation

[0038] To make the objectives, technical solutions, and advantages of this application clearer, the following detailed description is provided in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the scope of this application.

[0039] It should be noted that if the embodiments of the present invention involve directional indicators (such as up, down, left, right, front, back, etc.), the directional indicators are only used to explain the relative positional relationship and movement of the components in a certain specific posture (as shown in the figure). If the specific posture changes, the directional indicators will also change accordingly.

[0040] Furthermore, if the embodiments of this invention involve descriptions such as "first" or "second," these descriptions are for descriptive purposes only and should not be construed as indicating or implying their relative importance or implicitly specifying the number of technical features indicated. Therefore, a feature defined with "first" or "second" may explicitly or implicitly include at least one of those features. Additionally, the technical solutions of the various embodiments can be combined with each other, but this must be based on the ability of those skilled in the art to implement them. If the combination of technical solutions is contradictory or impossible to implement, it should be considered that such a combination of technical solutions does not exist and is not within the scope of protection claimed by this invention.

[0041] In one embodiment, a method for preparing many-to-many static entanglements based on two-photon high-dimensional time-bin entanglement distribution is provided, applicable to distributed systems containing N quantum nodes, each containing m static qubits, combined with... Figure 1 The method includes the following steps:

[0042] Step 1: Obtain photon pairs in a high-dimensional time-bin entangled state and map the time-bin state of the photon pairs into binary encoded information;

[0043] Step 2: Control the two photons in the photon pair to travel along different paths, so that each photon passes through the corresponding quantum node in sequence. Each quantum node has an optical switch (OS) in front of the static qubit. The optical switch controls whether the photon interacts with the corresponding static qubit according to the binary encoding information, so as to build a hybrid entangled state between the photon pair and the static qubit of each quantum node.

[0044] Step 3: After the two photons pass through all the target quantum nodes, perform generalized X-basis measurements on the two photons independently to cause the static qubit system to undergo projection collapse, forming a multi-body entangled state of the static qubits between multiple quantum nodes;

[0045] Step 4: Based on the measurement results of the generalized X-basis measurement, perform phase correction on the static qubits in at least one quantum node to obtain a standard form of many-body entangled state.

[0046] Furthermore, in one embodiment, the photon pair is in a d-dimensional time-bin entangled state, where the dimension... Its quantum state is represented as :

[0047]

[0048] In the formula, Indicates that the photon is in the first position. A time capsule ; Indicates that photon a is in the first position. A time capsule This indicates that photon b is in the position of the first photon. Each time slot, the binary encoded information is used to index the time slot. The resulting m-bit binary number is represented as The k-th bit , k=0,1,...,m-1.

[0049] Furthermore, in one embodiment, in step 2, the two photons pass through the quantum node sequentially along different paths, specifically: one path of photons sequentially passes through... One quantum node, another path of photons passes through sequentially Quantum nodes, of which This indicates rounding down. This indicates rounding up to the nearest integer.

[0050] Furthermore, in one embodiment, the operating state of the optical switch is related to each bit in the m-bit binary number. One-to-one correspondence; when When =1, the optical switch controls the photon to be in a reflected state, causing the photon to interact with the corresponding k-th static qubit and flip it; when When =0, the optical switch controls the photon to be in a transmission state, and the photon does not interact with the corresponding k-th static qubit.

[0051] Furthermore, in one embodiment, all quantum nodes adopt the same optical switching encoding rule, so that the static qubits corresponding to the same time slot undergo the same quantum evolution on different quantum nodes, thereby establishing a consistent state association between static qubits numbered at the same position in different quantum nodes, making the system evolution consistent and scalable.

[0052] Furthermore, in one embodiment, the quantum state form of the hybrid entangled state described in step 2 is represented as follows: :

[0053]

[0054] In the formula, Indicates that the photon pair is in the first position A time capsule This represents the state of the m-th static quantum in a quantum node. Describe the states of m static quantum systems, which are related to... The corresponding m-bit binary number is the same.

[0055] Furthermore, in step 3, the generalized X-basis measurement is performed independently on the two photons. Specifically, the time chamber degrees of freedom of the photons are projected onto the Fourier basis using the discrete Fourier transform, thereby converting the hybrid entangled state into m sets of parallel-generated N-body static quantum entangled states (through this process, the hybrid entangled state between the photon pair and mN static qubits is established).

[0056] Furthermore, in one embodiment, the measurement basis corresponding to the discrete Fourier transform is represented as follows: :

[0057]

[0058] In the formula, ;gather (k=0,1,..., -1) This constitutes a complete, orthogonal measurement basis;

[0059] When the generalized X-basis measurement result of the two photons is k, the system collapses into a many-body entangled state containing a phase factor.

[0060] Further, in one embodiment, in step 4, the phase correction specifically involves: selecting the last quantum node that interacts with the photon, and applying a corresponding single-bit phase gate operation to the corresponding static qubit in the selected quantum node based on the measurement result of the generalized X-basis measurement, in order to eliminate the non-target phase factor introduced by the measurement.

[0061] Furthermore, in one embodiment, the standard form of multibody entangled state prepared in step 4 is a standard Bell state when m=2 and a standard GHZ-type entangled state when m>2.

[0062] In one embodiment, a multi-to-multi-body static entanglement preparation system based on two-photon high-dimensional time-bay entanglement distribution is provided for implementing the multi-to-multi-body static entanglement preparation method based on two-photon high-dimensional time-bay entanglement distribution. The system includes:

[0063] The first module (distributed network module) contains N spatially separated quantum nodes, each of which stores m static qubits, and each static qubit is equipped with a programmable optical switch in front of it.

[0064] The second module (entangled photon source module) is used to generate a pair of photons in a d-dimensional time chamber entangled state and inject the two photons into two different transmission paths so that the two photons pass through the corresponding multiple quantum nodes in the distributed network module in sequence.

[0065] The third module (measurement module) is located at the end of the two transmission paths and is used to perform generalized X-basis measurements on the time chamber degrees of freedom of the two photons after they have passed through all the target quantum nodes.

[0066] The fourth module (correction module) is communicatively connected to the measurement module and the distributed network module, and is used to perform phase correction on the selected static qubits based on the measured measurement results.

[0067] Specific limitations regarding the multi-to-multi-body static entanglement preparation system based on two-photon high-dimensional time-bay entanglement distribution can be found in the limitations of the multi-to-multi-body static entanglement preparation method based on two-photon high-dimensional time-bay entanglement distribution described above, and will not be repeated here. Each module in the aforementioned multi-to-multi-body static entanglement preparation system based on two-photon high-dimensional time-bay entanglement distribution can be implemented entirely or partially through software, hardware, or a combination thereof. These modules can be embedded in or independent of the processor in a computer device, or stored in the memory of a computer device as software, so that the processor can call and execute the corresponding operations of each module.

[0068] In one embodiment, a computer device is provided, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor, when executing the computer program, implements:

[0069] Step 1: Obtain photon pairs in a high-dimensional time-bin entangled state and map the time-bin state of the photon pairs into binary encoded information;

[0070] Step 2: Control the two photons in the photon pair to travel along different paths, so that each photon passes through the corresponding quantum node in sequence. Each quantum node has an optical switch in front of the static qubit. The optical switch controls whether the passing photon interacts with the corresponding static qubit according to the binary encoding information, so as to build a hybrid entangled state between the photon pair and the static qubit of each quantum node.

[0071] Step 3: After the two photons pass through all the target quantum nodes, perform generalized X-basis measurements on the two photons independently to cause the static qubit system to undergo projection collapse, forming a multi-body entangled state of the static qubits between multiple quantum nodes;

[0072] Step 4: Based on the measurement results of the generalized X-basis measurement, perform phase correction on the static qubits in at least one quantum node to obtain a standard form of many-body entangled state.

[0073] For specific limitations on each step, please refer to the limitations on the multi-to-multi body static entanglement preparation method based on two-photon high-dimensional time chamber entanglement distribution mentioned above, which will not be repeated here.

[0074] In one embodiment, a computer-readable storage medium is provided having a computer program stored thereon, the computer program being implemented when executed by a processor:

[0075] Step 1: Obtain photon pairs in a high-dimensional time-bin entangled state and map the time-bin state of the photon pairs into binary encoded information;

[0076] Step 2: Control the two photons in the photon pair to travel along different paths, so that each photon passes through the corresponding quantum node in sequence. Each quantum node has an optical switch in front of the static qubit. The optical switch controls whether the passing photon interacts with the corresponding static qubit according to the binary encoding information, so as to build a hybrid entangled state between the photon pair and the static qubit of each quantum node.

[0077] Step 3: After the two photons pass through all the target quantum nodes, perform generalized X-basis measurements on the two photons independently to cause the static qubit system to undergo projection collapse, forming a multi-body entangled state of the static qubits between multiple quantum nodes;

[0078] Step 4: Based on the measurement results of the generalized X-basis measurement, perform phase correction on the static qubits in at least one quantum node to obtain a standard form of many-body entangled state.

[0079] For specific limitations on each step, please refer to the limitations on the multi-to-multi body static entanglement preparation method based on two-photon high-dimensional time chamber entanglement distribution mentioned above, which will not be repeated here.

[0080] As a specific example, the invention will be described in detail in one embodiment.

[0081] like Figure 2 As shown, this embodiment considers a distributed system containing N quantum nodes, with each quantum node spatially separated. Each quantum node stores m static qubits, numbered 0, 1, ..., m-1. A programmable optical switch (OS) is placed in front of each static qubit to control whether the incident photon interacts with that qubit. A pair of entangled photons encoded in a high-dimensional time chamber are introduced into the system, denoted as photon a and photon b. The two photons propagate along different paths, with photon a passing through... A quantum node, photon b passes through sequentially There are 10 quantum nodes. The encoding rules of the optical switches in each node are consistent. When a photon passes through the corresponding node, it selectively interacts with the static qubits in the node under the control of the optical switch. After completing the interaction of all nodes, a generalized X-basis measurement is performed on the photon pair, thereby establishing many-body entanglement between the quantum nodes.

[0082] The above process can be described from the perspective of quantum state evolution as follows:

[0083] (1) Initial state preparation

[0084] Assume all static qubits are initialized to the ground state. When a photon interacts effectively with a qubit, that qubit flips and becomes... The two photons are initially in an entangled state within a d-dimensional time chamber: ,in This indicates that the photon is in the l-th time slot. The time slot index l is represented as an m-bit binary number: ,in .

[0085] For a given time warehouse The optical switch is based on the corresponding bit. Controlling the interaction between the photon and the k-th qubit: when When the optical switch is in a reflective state, photons interact with the qubit and flip it; when... When the optical switch is in the transmission state, photons do not interact with the qubit. Therefore, when the photon is in the transmission state... After passing through a certain quantum node, the state evolution of the m static qubits in that node is as follows: .

[0086] (2) Multi-node interaction

[0087] After the two photons pass through the quantum nodes on their respective paths in sequence, since all nodes use the same encoding rule, the entire system evolves into a hybrid entangled state between the photons and all static qubits:

[0088]

[0089] This state indicates that qubits with the same position number have a consistent state association in different quantum nodes.

[0090] (3) Generalized X-based measurement

[0091] After the photon has completed its interaction with all quantum nodes, a generalized X-basis measurement is performed on the photon. This measurement is achieved by performing a discrete Fourier transform on the time chamber degrees of freedom:

[0092] ,in .

[0093] When the measurement result is k, the system collapses as follows:

[0094] .

[0095] Further simplification yields that this state is equivalent to the tensor product of m parallel N-body entangled states:

[0096]

[0097] Phase factor It is determined by the measurement result k.

[0098] (4) Phase correction

[0099] Based on the measurement result k, a phase correction operation is applied to the corresponding qubit in a selected quantum network node (e.g., the last node that interacts with a photon) to eliminate the phase factor. Thus, the standard form of multi-body entangled state is obtained.

[0100] Through the above process, this invention utilizes a single pair of high-dimensional time-bin encoded photons to achieve the parallel preparation of m sets of many-body entangled states among N quantum nodes. The successful preparation of the multi-node many-body entangled states is indicated by the detection of a photon event in the generalized X-basis measurement. Compared to traditional pairwise preparation methods, this method significantly reduces resource consumption and improves the system's resilience and overall preparation efficiency.

[0101] In summary, this invention achieves parallel generation of multi-body entanglement between multiple nodes during a single photon transmission and measurement process through the synergistic effect of high-dimensional encoded photon pairs and controllable optical switches.

[0102] The foregoing has shown and described the basic principles, main features, and advantages of the present invention. Those skilled in the art should understand that the present invention is not limited to the above embodiments. The embodiments and descriptions in the specification are merely illustrative of the principles of the invention. Any modifications, equivalent substitutions, or improvements made within the spirit and principles of the present invention without departing from its spirit and scope should be included within the protection scope of the present invention.

Claims

1. A method for preparing many-to-many static entanglement based on two-photon high-dimensional time-bin entanglement distribution, applicable to a distributed system containing N quantum nodes, each quantum node containing m static qubits, characterized in that... The method includes the following steps: Step 1: Obtain photon pairs in a high-dimensional time-bin entangled state and map the time-bin state of the photon pairs into binary encoded information; Step 2: Control the two photons in the photon pair to travel along different paths, so that each photon passes through the corresponding quantum node in sequence. Each quantum node has an optical switch in front of the static qubit. The optical switch controls whether the passing photon interacts with the corresponding static qubit according to the binary encoding information, so as to build a hybrid entangled state between the photon pair and the static qubit of each quantum node. Step 3: After the two photons pass through all the target quantum nodes, perform generalized X-basis measurements on the two photons independently to cause the static qubit system to undergo projection collapse, forming a multi-body entangled state of the static qubits between multiple quantum nodes; Step 4: Based on the measurement results of the generalized X-basis measurement, perform phase correction on the static qubits in at least one quantum node to obtain a standard form of many-body entangled state.

2. The method for preparing multi-to-multi-body static entanglement based on two-photon high-dimensional time chamber entanglement distribution according to claim 1, characterized in that, The photon pair is in a d-dimensional time-bin entangled state, where the dimension Its quantum state is represented as : In the formula, Indicates that the photon is in the first position. A time capsule ; Indicates that photon a is in the first position. A time capsule This indicates that photon b is in the position of the first photon. Each time slot, the binary encoded information is used to index the time slot. The resulting m-bit binary number is represented as The k-th bit , k=0,1,...,m-1.

3. The method for preparing multi-to-multi-body static entanglement based on two-photon high-dimensional time-bin entanglement distribution according to claim 1, characterized in that, In step 2, the two photons pass through the quantum node sequentially along different paths. Specifically, one path of photons passes through... One quantum node, another path of photons passes through sequentially Quantum nodes, of which This indicates rounding down. This indicates rounding up to the nearest integer.

4. The method for preparing multi-to-multi-body static entanglement based on two-photon high-dimensional time chamber entanglement distribution according to claim 2, characterized in that, The operating state of the optical switch is related to each bit in the m-bit binary number. One-to-one correspondence; when When =1, the optical switch controls the photon to be in a reflected state, causing the photon to interact with the corresponding k-th static qubit and flip it; when When =0, the optical switch controls the photon to be in a transmission state, and the photon does not interact with the corresponding k-th static qubit.

5. The method for preparing multi-to-multi-body static entanglement based on two-photon high-dimensional time-bin entanglement distribution according to claim 1, characterized in that, All quantum nodes use the same optical switching encoding rule, which ensures that static qubits corresponding to the same time slot undergo the same quantum evolution on different quantum nodes, thereby establishing a consistent state association between static qubits numbered at the same position in different quantum nodes.

6. The method for preparing multi-to-multi-body static entanglement based on two-photon high-dimensional time-bin entanglement distribution according to claim 2, characterized in that, The quantum state form of the hybrid entangled state described in step 2 is expressed as follows: : In the formula, Indicates that the photon pair is in the first position A time capsule This represents the state of the m-th static quantum in a quantum node. Describe the states of m static quantum systems, which are related to... The corresponding m-bit binary number is the same.

7. The method for preparing multi-to-multi-body static entanglement based on two-photon high-dimensional time chamber entanglement distribution according to claim 1, characterized in that, In step 3, generalized X-basis measurements are performed independently on the two photons. Specifically, the time chamber degrees of freedom of the photons are projected onto the Fourier basis using discrete Fourier transform, thereby converting the hybrid entangled state into m sets of parallel-generated N-body static quantum entangled states.

8. The method for preparing multi-to-multi-body static entanglement based on two-photon high-dimensional time-bin entanglement distribution according to claim 7, characterized in that, The measurement basis corresponding to the discrete Fourier transform is represented as follows: : In the formula, ; When the generalized X-basis measurement result of the two photons is k, the system collapses into a many-body entangled state containing a phase factor.

9. The method for preparing multi-to-multi-body static entanglement based on two-photon high-dimensional time-bin entanglement distribution according to claim 1, characterized in that, In step 4, the phase correction specifically involves: selecting the last quantum node that interacts with the photon, and applying a corresponding single-bit phase gate operation to the corresponding static qubit in the selected quantum node based on the measurement results of the generalized X-basis measurement, in order to eliminate the non-target phase factor introduced by the measurement.

10. The method for preparing multi-to-multi-body static entanglement based on two-photon high-dimensional time-bin entanglement distribution according to claim 1, characterized in that, The standard form of multibody entangled state prepared in step 4 is a standard Bell state when m=2 and a standard GHZ-type entangled state when m>2.

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