Quantum computing device, method, electronic device, medium, and product for computing tasks

Abstract

The application provides a quantum computing device, method, electronic equipment, medium and product for computing tasks, and belongs to the technical field of quantum computing. The device comprises: an impedance spherical net chain of an LC resonator array, comprising a plurality of LC resonator circuits in which spin resonance states are encoded as one quantum bit; a reference signal source for determining a pulse width modulation signal array according to an acquired analog signal array, and applying the pulse width modulation signal array to the LC resonator array; an observation control module for observing and acquiring the analog signal array after the LC resonator array is applied with the pulse width modulation signal array; and a quantum state evolution module for solving the analog signal array based on Euler formula, obtaining a quantum state evolution phase corresponding to the analog signal, and performing complex plane visualization on the quantum state evolution phase, and outputting a quantum evolution trajectory of a task to be computed. The application provides a quantum computing scheme for computing tasks, which has low hardware cost, can be visualized in a complex plane, can be macroscopically copied, and can be mass industrialized.

Description

Technical Field

[0001] This invention relates to the field of quantum computing technology, and in particular to a quantum computing device, method, electronic device, medium, and product. Background Technology

[0002] Quantum computing technologies such as superconductivity and ion traps rely heavily on quantum error correction (QEC) codes for computational tasks. The physical bit overhead is huge and the technology is limited by extremely low temperature environments. Superconducting qubits rely on low temperature, superconductivity, Josephson tunneling, and microwave resonant cavity readout, which have drawbacks such as extremely high cost, inability to visualize, inability to be macroscopically replicated, and scale limitations.

[0003] Therefore, the industry urgently needs a quantum computing solution for computational tasks that can be implemented in room-temperature hardware, is visualized, and can be industrialized on a large scale. Summary of the Invention

[0004] This invention provides a quantum computing device, method, electronic device, medium, and product to address the shortcomings of existing quantum computing technologies, such as huge physical bit overhead, high cost, inability to visualize, inability to macroscopically replicate, and limited scale.

[0005] This invention provides a quantum computing device for computational tasks, comprising: An LC resonator array includes multiple LC resonator circuits; the spin resonance state of each LC resonator circuit is encoded as a qubit. A reference signal source is used to determine the pulse width modulation signal array of the LC resonator array based on the analog signal array acquired by the observation and control module, and to apply the pulse width modulation signal array to the LC resonator array to update the array state of the LC resonator array. The observation and control module is used to observe and acquire the analog signal array after the pulse width modulation signal array is applied to the LC resonator array; The quantum state evolution module is used to solve the analog signal array based on Euler's formula, obtain the quantum state evolution phase corresponding to each analog signal, visualize the quantum state evolution phase in the complex plane, and output the quantum evolution trajectory of the task to be calculated.

[0006] According to a quantum computing device for computing tasks provided by the present invention, the array state of the LC resonator array includes an intermediate array state; the step of determining the pulse width modulation signal array of the LC resonator array based on the analog signal array acquired by the observation and control module, and applying the pulse width modulation signal array to the LC resonator array includes: using a preset quantum gate flip formula and the Euler complex exponent formula, calculating the pulse width modulation signal corresponding to each analog signal according to the energy level, preset time step and preset evolution step number of each analog signal in the analog signal array, to obtain the pulse width modulation signal array; sending the pulse width modulation signal array to the switch driving array of the LC resonator array to simultaneously drive each switch of the switch driving array, and updating the array state of the LC resonator array through physical resonance interference and autonomous evolution of quantum states.

[0007] According to the present invention, a quantum computing device for computing tasks is provided, wherein the preset quantum gate flip formula is used to achieve X-gate bit flipping by rotation when the phase is π, Y-gate evolution by rotation when the phase is π / 2, Z-gate phase rotation by offset when the phase is arbitrary, and H-gate Hadamard superposition by coherent superposition of two ground states with equal amplitude.

[0008] According to a quantum computing device for a computational task provided by the present invention, the reference signal source includes multiple parallel computing processing units; the computing processing units are used to determine a pulse width modulation signal in the pulse width modulation signal array based on an analog signal in the analog signal array; the LC resonator circuits of the LC resonator array correspond one-to-one with the computing processing units; each LC resonator circuit includes a switching transistor; each switching transistor constitutes a switching transistor driving array; the step of sending the pulse width modulation signal array to the switching transistor driving array of the LC resonator array includes: for each pulse width modulation signal of the pulse width modulation signal array, sending the pulse width modulation signal to a target LC resonator circuit via a switching transistor; the target LC resonator circuit is an LC resonator circuit used to determine the computing processing unit corresponding to the pulse width modulation signal.

[0009] According to a quantum computing device for computing tasks provided by the present invention, the step of solving the analog signal array based on Euler's formula to obtain the quantum state evolution phase corresponding to each analog signal includes: determining the angular frequency and phase of each analog signal based on the energy level of each analog signal in the analog signal array; for each analog signal, mapping the analog signal to a target quantum state evolution phase based on a preset quantum four-state mapping rule, Euler's complex exponent formula, the angular frequency and phase of the analog signal, so as to obtain the quantum state evolution phase corresponding to each analog signal; wherein, Euler's complex exponent formula is determined based on Euler's formula, the energy quantum state of the capacitor electric field, and the energy quantum state of the inductor magnetic field.

[0010] According to the present invention, a quantum computing device for computing tasks is provided, wherein the quantum state evolution phase is any one of the positive electric field ground state, the positive magnetic field ground state, the negative electric field ground state, and the negative magnetic field ground state.

[0011] According to a quantum computing device for a computing task provided by the present invention, the array state of the LC resonator array includes an initial array state; the initial array state is driven by the following method: the reference signal source determines the initial pulse width modulation signal array of the LC resonator array according to the computing task, and applies the initial pulse width modulation signal array to the LC resonator array so that the LC resonator array enters the initial array state.

[0012] According to a quantum computing device for computational tasks provided by the present invention, each of the LC resonator circuits includes a capacitor, an inductor, an observation resistor, a switch, and a power supply; a first end of the inductor is connected to the negative terminal of the power supply and a first end of the capacitor, and a second end of the inductor is connected to the switch; a first end of the capacitor is connected to the first end of the inductor and the negative terminal of the power supply; a second end of the capacitor is connected to the first end of the observation resistor; a second end of the observation resistor is connected to the switch; and the switch is connected to the second end of the inductor, the second end of the observation resistor, and the positive terminal of the power supply, respectively; wherein, the on / off state of the switch is used to determine the oscillation mode of the LC resonator circuit.

[0013] According to a quantum computing device for computing tasks provided by the present invention, the observation control module is connected to the observation resistors of each of the LC resonator circuits respectively; the observation and acquisition of the analog signal array after the pulse width modulation signal array is applied to the LC resonator array includes: determining the oscillation phase and amplitude of each LC resonator circuit after the pulse width modulation signal array is applied based on the voltage drop signal of each of the observation resistors, so as to acquire the analog signal array.

[0014] According to the present invention, a quantum computing device for computing tasks is provided, wherein the capacitor is a cross-shaped distributed capacitor; and / or, the inductor is a saturable nonlinear inductor, and a DC flux bias coil covers the inductor core; and / or, the resistor is a damping loss unit; and / or, the observation control module is an ADC signal sampling unit; and / or, the quantum state evolution module includes a digital signal processing chip and a DAC visualization output unit.

[0015] According to the present invention, a quantum computing device for computing tasks is provided, wherein two LC resonator circuits in the LC resonator array constitute a two-unit reverse magnetic flux conjugate entangled structure, N arrays, and the entanglement between each pair of adjacent arrays is a conjugate inductor and a soft-switching capacitor, forming an entanglement chain, realizing 2 N The parallel computing quantum computing power was used to model and reconstruct the physical characterization of Hilbert space and Josephson junction under low-temperature superconducting conditions using classical circuits. The tunneling energy difference of the Josephson junction comes from the electromagnetic waves oscillating between the capacitor plates, which serves as a basis for comparison and calibration for reading and measurement.

[0016] According to the present invention, a quantum computing device for computing tasks is provided, wherein the two LC resonator circuits in the LC resonator array realize the resonant oscillation of capacitor and inductor based on soft-switching zero-current switching, and the two pairs are conjugate matched, and the measurement of the inductor energy storage difference is a calibration and compensation standard.

[0017] According to the present invention, a quantum computing device for computing tasks is provided, wherein the closed-loop network composed of the LC resonator array satisfies the Smith spherical impedance matching of the electron cloud; when the transmission line is arranged in a spherical layout, the impedance matching of LC is achieved and the low-temperature superconductivity satisfies the impedance matching of the physical prototype.

[0018] According to the present invention, a quantum computing device for computing tasks is provided, wherein the reference signal source is driven in parallel by a GPU, or the reference signal source is driven in serial by an FPGA, or the reference signal source is driven by a combination of GPU and FPGA.

[0019] The present invention also provides a quantum computing method for computational tasks, comprising: Based on the analog signal array acquired by the observation and control module, the pulse width modulation signal array of the LC resonator array is determined, and the pulse width modulation signal array is applied to the LC resonator array to update the array state of the LC resonator array. The analog signal array is observed and acquired after the pulse width modulation signal array is applied to the LC resonator array; The simulation signal array is solved based on Euler's formula to obtain the quantum state evolution phase corresponding to each simulation signal, and the quantum state evolution phase is visualized in the complex plane to output the quantum evolution trajectory of the task to be calculated. The LC resonator array includes multiple LC resonator circuits; the spin resonance state of each LC resonator circuit is encoded as a qubit.

[0020] The present invention also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement a quantum computing method for computing tasks as described above.

[0021] The present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements a quantum computing method for the computational tasks described above.

[0022] The present invention also provides a computer program product, including a computer program that, when executed by a processor, implements a quantum computing method for the computational tasks described above.

[0023] The quantum computing device, method, electronic device, medium, and product provided by this invention utilize a quantum computing device composed of an LC resonator array, a reference signal source, an observation and control module, and a quantum state evolution module. This device encodes the spin resonance state of each LC resonator circuit into a qubit, employing geometric phase evolution based on Euler's formula as the underlying physical principle of quantum computing. The entire workflow can be performed at room temperature, significantly reducing the hardware cost of the quantum computing device and overcoming environmental and cost limitations, thus realizing room-temperature, classical hardware-based quantum computing. The observation and control module acquires analog signals from the LC resonators, and the quantum state evolution module, based on Euler's formula, solves the acquired analog signals into quantum state evolution phases and visualizes them in the complex plane. This allows for intuitive observation and tracking of the quantum evolution trajectory in the complex plane. By utilizing the classical and stable physical phenomenon of LC resonance, precise phase modulation using PWM signals drives quantum state evolution, avoiding the problem of traditional qubits relying on complex error correction codes due to decoherence of microscopic particles. Ultimately, this provides a quantum computing solution for computational tasks that is low-cost, visualizeable in the complex plane, macroscopically replicable, and suitable for large-scale industrialization. Attached Figure Description

[0024] To more clearly illustrate the technical solutions in this invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this invention. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.

[0025] Figure 1 This is a schematic diagram of the structure of the quantum computing device for computing tasks provided by the present invention.

[0026] Figure 2 This is a schematic diagram of the LC resonator circuit provided by the present invention.

[0027] Figure 3 This is a schematic diagram of the Euler formula provided by the present invention.

[0028] Figure 4 This is the second schematic diagram of the structure of the quantum computing device for computing tasks provided by the present invention.

[0029] Figure 5 This is a schematic diagram of the dual-unit reverse magnetic flux conjugate entanglement structure provided by the present invention.

[0030] Figure 6 This is a schematic diagram of the basic configuration provided by the present invention.

[0031] Figure 7 This is a flowchart illustrating the quantum computing method for computational tasks provided by the present invention.

[0032] Figure 8 This is a schematic diagram of the structure of the electronic device provided by the present invention. Detailed Implementation

[0033] To make the objectives, technical solutions, and advantages of this invention clearer, the technical solutions of this invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some, not all, of the embodiments of this invention. All other embodiments obtained by those skilled in the art based on the embodiments of this invention without creative effort are within the scope of protection of this invention.

[0034] It should be noted that the terms "first," "second," etc., used in this disclosure are used to distinguish similar objects and not to describe a specific order or sequence. It should be understood that such data can be interchanged where appropriate so that embodiments of this disclosure can be implemented in orders other than those illustrated or described herein, and the objects distinguished by "first," "second," etc., are generally of the same class and the number of objects is not limited; for example, the first object can be one or more.

[0035] In the description of the embodiments disclosed herein, "a plurality of" means two or more, unless otherwise expressly and specifically defined.

[0036] Furthermore, in the description of the embodiments disclosed herein, "and / or" is merely a way of describing the relationship between associated objects, indicating that three relationships can exist. For example, B1 and / or B2 can represent three cases: B1 existing alone, B1 and B2 existing simultaneously, and B2 existing alone. Additionally, the character " / " generally indicates that the preceding and following associated objects have an "or" relationship.

[0037] The following is combined with Figures 1 to 8 The present invention describes quantum computing devices, methods, electronic devices, media, and products.

[0038] Quantum computing technologies such as superconductivity and ion traps heavily rely on quantum error correction codes, incurring enormous physical bit overhead and being limited by extremely low-temperature environments. All general-purpose quantum computing systems are uniformly built upon the quantum Hamiltonian mechanics paradigm. The core of the underlying evolution of superconducting qubits, photons, and ion traps lies solely in the Schrödinger equation and the unitary evolution of the Hamiltonian energy operator. Superconducting qubits rely on low temperatures, superconductivity, Josephson tunneling, and microwave resonant cavity readout, resulting in extremely high costs, severe decoherence, inability to visualize, inability to macroscopically replicate, and scale limitations. No general-purpose quantum computing algorithm in these technologies departs from the Hamiltonian evolution system. The industry urgently needs a novel underlying quantum computing algorithm that is free from microscopic quantum assumptions and the Hamiltonian energy paradigm, based on classical physics, universal across all scales, and implementable in room-temperature hardware. This would break the monopoly of the quantum mechanical Hamiltonian paradigm, establish a general-purpose quantum computing system based on Euler geometric phase, and achieve a new type of general-purpose quantum computing that is room-temperature, classical, visualizeable, and scalable for large-scale industrialization, matching and surpassing all existing superconducting quantum computing underlying architectures.

[0039] Figure 1 This is one of the structural schematic diagrams of the quantum computing device for computing tasks provided by the present invention, such as... Figure 1 As shown, the quantum computing device for the computation task includes, but is not limited to, an LC resonator array 110, a reference signal source 120, an observation and control module 130, and a quantum state evolution module 140.

[0040] The LC resonator array 110 includes multiple LC resonator circuits 111; the spin resonance state of each LC resonator circuit is encoded as a qubit.

[0041] As an optional embodiment, each LC resonator circuit includes a capacitor, an inductor, a monitoring resistor, a switching transistor, and a power supply.

[0042] Figure 2 This is a schematic diagram of the LC resonator circuit provided by the present invention, as shown below. Figure 2As shown, each LC resonator circuit includes a capacitor C, an inductor L, an observation resistor r, a PWM switch, and a power supply Vcc. The first terminal of the inductor L is connected to the negative terminal of the power supply Vcc and the first terminal of the capacitor C, and the second terminal of the inductor L is connected to the PWM switch. The first terminal of the capacitor C is connected to the first terminal of the inductor L and the negative terminal of the power supply Vcc. The second terminal of the capacitor C is connected to the first terminal of the observation resistor r. The second terminal of the observation resistor r is connected to the PWM switch. The PWM switch is connected to the second terminal of the inductor L, the second terminal of the observation resistor r, and the positive terminal of the power supply Vcc. The on / off state of the PWM switch is used to determine the oscillation mode of the LC resonator circuit.

[0043] In this circuit, capacitor C and inductor L form the basic resonant unit, whose phase oscillation corresponds to the LC electron spin state; the PWM switch forms the control switch, whose logic gate operation corresponds to the LC revolution, and the switching of PWM simulates the operation of quantum gates (such as the control logic of CNOT gates); the observation resistor r serves as the loss and output port, and its measurement and result output correspond to the overall system observation, and the voltage drop of the observation resistor r simulates the measurement collapse; the power supply Vcc provides the energy base; and the resonance of the LC resonator circuit simulates the phase of the quantum bits.

[0044] Optionally, the capacitor is a cross-shaped distributed capacitor.

[0045] Optionally, the inductor is a saturable nonlinear inductor, and the inductor core wrapped by the DC flux bias coil serves as the DC flux bias unit.

[0046] By directly coupling the nonlinear inductor core with a DC flux bias coil, a nonlinear LC main circuit is constructed, which can change the nonlinear saturation operating point of the inductor, effectively realizing the superconducting SQUID flux tuning function, and completing the frequency calibration and energy level control of the quantum bit.

[0047] Optionally, the resistor is a damping loss unit.

[0048] An LC resonator circuit is an LC unit, and each LC unit is a quantized resonator, whose inherent resonant angular frequency is given by the unified formula: .

[0049] All electromagnetic elements of the LC resonator array are undamped, pure simple LC elements with no energy-consuming damping components, ensuring that the electromagnetic oscillations continue to evolve without decay; all LC element parameters are strictly matched to achieve full-domain resonance, providing a physical basis for phase locking, entanglement coupling, and energy harvesting.

[0050] The quantized definition of the LC elementary vibration is as follows: (1) Define electron spin as the inductance L of the spherical capacitance envelope, which characterizes the circular motion of charge; (2) The electron orbital migration is defined as the capacitance C of the sphere, which characterizes the linear motion of the charge; (3) The resonant energy community composed of (1) and (2) is an indivisible energy unit model with the same frequency, which is recognized as the simple vibration of the LC element; the vibration of the LC element is both self-rotation and simultaneously 720 degrees of spatial revolution, which is defined as the minimum energy state of the LC element resonance. The intrinsic vibration of the LC element is energy, which is expressed as frequency at the quantum level and as period at the cosmic level, which is defined as time. (4) When the LC element breaks through the Coulomb force equilibrium, it is the energy level difference after the two Smith LC impedance spheres are rematched when the electron orbital jumps. The overflowed photon is an LC oscillation wave, which is equivalent to the oscillation of a classical LC circuit. (5) Electrons are drawn to the vicinity of the nucleus by the atomic nucleus, lose their balance, and become bound to the vibrating vibrating vicinity of the nucleus in the spherical capacitor. This is equivalent to the inductive magnetic moment repulsion potential and the Coulomb potential being bound. (6) Furthermore, the relationship between the two pairs of LC elementary resonant clusters is that they are entangled in opposite magnetic flux.

[0051] The phase evolution of all qubits is essentially a complex-plane Euler geometric rotation of a nonlinear LC harmonic oscillator. Quantum superposition, quantum interference, quantum phase, and quantum gate evolution are not behaviors unique to microscopic particles, but rather inherent geometric properties of the orthogonal alternation of electromagnetic energy in LC elementary elements.

[0052] Reference signal source 120 is used to determine the pulse width modulation (PWM) signal array of the LC resonator array based on the analog signal array acquired by the observation and control module 130, and to apply the PWM signal array to the LC resonator array to update the array state of the LC resonator array.

[0053] The observation and control module 130 is used to observe and acquire the analog signal array after the pulse width modulation signal array is applied to the LC resonator array.

[0054] As an optional embodiment, the reference signal source is driven in parallel by the GPU, or the reference signal source is driven in serial by the FPGA, or the reference signal source is driven by a combination of GPU and FPGA.

[0055] The PWM signal array includes multiple PWM signals, each of which includes PWM waveform parameters such as frequency and duty cycle.

[0056] The analog signal array is the analog signal array acquired by the observation and control module 130 after applying the PWM signal array to the LC resonator array; the analog signal array includes multiple analog signals, and each analog signal corresponds one-to-one with the LC resonator circuit.

[0057] Optionally, the observation control module is an ADC (Analog-to-Digital Converter) signal sampling unit.

[0058] Optionally, the observation and control module includes a dual-channel ADC signal sampling unit that synchronously acquires quadrature signals of capacitor voltage and inductor current. The first ADC signal sampling unit acquires the quadrature signals of capacitor voltage generated by each LC resonator circuit, and the second ADC signal sampling unit acquires the quadrature signals of inductor current generated by each LC resonator circuit. Specifically, after applying a PWM signal array to the LC resonator array, the PWM signal array rapidly modulates and excites the LC resonator array to generate stable intrinsic resonance. The observation and control module 130 observes and acquires the analog signal array generated after applying the PWM signal array to the LC resonator array. The reference signal source 120, based on the analog signal array acquired by the observation and control module 130, obtains the PWM signal array of the LC resonator array by performing preset operations such as phase rotation quantum gate operations, and applies the PWM signal array to the LC resonator array, thereby updating the array state of the LC resonator array.

[0059] The quantum state evolution module 140 is used to solve the analog signal array based on Euler's formula, obtain the quantum state evolution phase corresponding to each analog signal, visualize the quantum state evolution phase in the complex plane, and output the quantum evolution trajectory of the task to be calculated.

[0060] Optionally, the quantum state evolution module 140 includes a digital signal processing (DSP) chip and a DAC (Digital-to-Analog Converter) visualization output unit.

[0061] Specifically, after the observation and control module 130 observes and acquires the analog signal array generated by the PWM signal array applied to the LC resonator array, the quantum state evolution module 140 first uses the DSP chip to solve the analog signal array based on Euler's formula to obtain the quantum state evolution phase corresponding to each analog signal. Then, it uses Euler to solve the complex plane phase and quantum state in real time. Finally, the DAC visualization output unit refreshes the rotation trajectory of the complex plane quantum state (such as the quantum four states) in real time to complete the quantum computing iteration.

[0062] Optionally, Figure 3 This is a schematic diagram of the Euler formula provided by the present invention, as shown below. Figure 3 As shown, based on the natural phase characteristics of LC simple vibration, a four-state closed-loop orthogonal basis can be defined to cover the phase evolution of the complete complex plane. The four quantum states defined include: at a phase of 0°, the reference state is defined as... When the phase is 90°, the phase state is defined as The reversed state is defined when the phase is 180°. At a phase of 27°, the offset state is defined as... .

[0063] Among them, the four-state cycle is self-consistent and closed-loop, containing all the operational logic of the two-level system, and also has the ability to evolve the continuous phase, with an information dimension far exceeding that of traditional quantum systems.

[0064] The quantum computing device for computational tasks provided by this invention, consisting of an LC resonator array, a reference signal source, an observation and control module, and a quantum state evolution module, encodes the spin resonance state of each LC resonator circuit into a qubit. It employs geometric phase evolution based on Euler's formula as the underlying physical principle of quantum computing. The entire workflow can be performed at room temperature, significantly reducing the hardware cost of the quantum computing device, overcoming environmental and cost limitations, and realizing room-temperature, classical hardware-based quantum computing. The observation and control module acquires analog signals from the LC resonators, and the quantum state evolution module, based on Euler's formula, solves the acquired analog signals into quantum state evolution phases and visualizes them in the complex plane. This allows for intuitive observation and tracking of the quantum evolution trajectory in the complex plane. Utilizing the classical and stable physical phenomenon of LC resonance, precise phase modulation using PWM signals drives quantum state evolution. During interference evolution, this avoids the problem of traditional qubits relying on complex error correction codes due to decoherence of microscopic particles. Ultimately, this provides a quantum computing solution for computational tasks that is low-cost, visualizeable in the complex plane, macroscopically replicable, and suitable for large-scale industrialization.

[0065] Furthermore, in the quantum computing device for the computational task provided by this invention, which includes an LC resonator array, a reference signal source, an observation and control module, and a quantum state evolution module, the physical characteristics of the LC resonator array network itself protect the oscillation uncertainty of the phase and provide natural coherence protection; the PWM of the reference signal source, as an external reference frame, can be manipulated without destroying the internal coherence of the LC, and together with the observation and control module, it realizes non-destructive observation / control; the computation process of the quantum state evolution module is also the natural resonance and interference process of the LC resonator array network under the drive of the overall system.

[0066] Figure 4 This is a second schematic diagram of the structure of the quantum computing device for computing tasks provided by the present invention, as shown below. Figure 4As shown, the quantum computing device for this computational task consists of a host computer, a programmable main unit, an analog front-end, an LC qubit array, and a closed-loop readout, forming a complete electromagnetic coherent quantum simulation computing platform. The overall architecture of this LC equivalent qubit computing system inherits the theoretical system of LC primitive zero-point field and Smith spherical impedance, realizing the engineering implementation of the qubit algorithm.

[0067] The overall layout of the complete electromagnetic coherent quantum simulation computing platform, from left to right, includes a workstation, an FPGA+GPU heterogeneous main controller, dual DAC / ADC measurement and control channels, an LC conjugate double potential well qubit array, a multi-mode measurement module, and a global closed-loop calibration layer. The blue arrows mainly indicate the digital control and excitation output from left to right, while the green arrows mainly indicate the data acquisition and calibration feedback from right to left.

[0068] The overall data flow closed-loop logic of the complete electromagnetic coherent quantum simulation computing platform includes the instruction issuance link of the blue uplink path and the result readback closed loop of the green downlink path.

[0069] In the blue uplink instruction transmission link, the laptop inputs the computational problem to be solved and sends the algorithm task to the FPGA / GPU programmable main control unit. The FPGA is suitable for high-precision timing control and PWM hard real-time pulse generation, while the GPU is suitable for parallel preprocessing of complex quantum algorithms and multi-bit evolution simulation. The main control unit outputs the analog excitation waveform through DAC digital-to-analog conversion, drives the PWM soft switching of the front-end LC resonant unit, regulates the resonant state switching, potential well tunneling and phase evolution of the LC circuit, and completes the LC bit gate operation.

[0070] In the result readback closed loop of the green downlink path, after the LC bit array completes the operation, the signal is sent to the measurement and reading module. The analog acquisition signal is converted back to digital by the DAC and sent back to the FPGA / GPU for data parsing. Finally, the operation result is fed back to the host computer laptop, forming a complete closed loop of "instruction-driven - hardware evolution - measurement feedback - result output".

[0071] Specifically, the complete electromagnetic coherent quantum simulation computing platform includes six layers of module functionality.

[0072] The first layer is the upper-level interaction layer, which includes a laptop computer. It is responsible for human-computer interaction and task definition functions. It can realize custom quantum algorithm logic, configure bit evolution parameters, and visualize the final calculation results. It is the operation entry point of the entire system.

[0073] The second layer is the core control layer, which includes a dual-controller system that can be either an FPGA or a GPU. The FPGA's advantages lie in its nanosecond-level timing accuracy, precisely generating multiple synchronous PWM pulses, adapting to the synchronous control of multi-bit gates in LC arrays, suppressing phase drift, and ensuring coherence duration. The GPU's advantages include pre-computation of algorithms for large-scale bit arrays, parallel computation of unitary evolution matrices, and pre-optimization of DAC output waveform parameters, reducing the cost of hardware iteration and trial-and-error. Both can achieve bidirectional data interaction, balancing real-time control and computing power scheduling.

[0074] The third layer is the digital-to-analog driver layer, which includes two DAC digital-to-analog converters. The forward DAC converts the digital control sequence of the main controller into a continuous analog voltage / waveform, modulates the bias of the LC circuit, the PWM duty cycle, switches the dual resonant states of the unsaturated / saturable inductor, and adjusts the impedance points on the Smith sphere. The readback DAC digitizes the measured LC oscillation analog signal and sends it back to the main controller for coherent state analysis and error calibration.

[0075] The fourth layer is the analog core layer, which includes a single-channel LC bit unit, namely a basic LC resonant unit composed of power supply Vcc, capacitor C, resistor r, and PWM controlled switch: the PWM switch controls the on and off of the circuit to change the equivalent LC parameters of the circuit, realizing the switching of two conjugate resonant potential wells; the resistor r plays the role of impedance matching and suppressing parasitic reflections, so that the steady state is always locked on the Smith impedance trajectory, avoiding random energy leakage and decoherence.

[0076] The fifth layer is the core computing layer, which includes a hierarchically arranged LC bit array. The top layer is the LC bit gate operation unit, which extends downwards to a multi-level bit array. Bit coupling is achieved by relying on common magnetic flux LC entanglement. It can build single-bit gates, CNOT double-bit gates, and even large-scale entangled bit clusters. After the array is closed at both ends, the atomic energy level spherical impedance structure can be replicated to realize multi-order superposition states and long-distance tunneling entanglement.

[0077] The sixth layer is the measurement feedback layer, which includes a bit data reading module. It collects the amplitude and phase information of each LC resonance in real time, and reverses the phase angle θ of the current quantum superposition state sinθ+icosθ. It can read out the results in a single measurement, continuously monitor the entire process of state evolution, and provide real-time compensation data to the main controller to correct the impedance shift caused by inductor saturation and temperature drift.

[0078] The complete electromagnetic coherent quantum simulation computing platform has the key advantage of hardware being naturally adapted to quantum properties, and LC conjugate double resonance correspondence. , The ground state and magnetic coupling entanglement enable bit correlation. Impedance control can traverse all superposition states of the Bloch sphere and can fully execute all general quantum gate operations such as Hadamard, Pauli, and CNOT. Furthermore, closed-loop control improves stability, and data reading is fed back to the main control in reverse, which can dynamically correct the PWM waveform and DAC output amplitude.

[0079] As an optional implementation, the original closed-loop data flow framework is retained. Based on the core theories of LC primitive zero-point energy field and Smith spherical impedance matching, a scientific upgrade is carried out from five dimensions: hierarchical decoupling, coherence fidelity, noise suppression, multi-qubit expansion, and calibration closed loop. The LC resonant equivalent quantum bit computing platform is optimized, and a six-layer fully closed-loop system is determined, consisting of human-computer interaction layer, algorithm scheduling layer, waveform driving layer, LC bit physical layer, sensing and reading layer, and global calibration layer. This achieves compatibility with single / multi-qubit algorithms and stable operation with high coherence at room temperature.

[0080] Optionally, at the human-computer interaction layer, ordinary laptops are upgraded to industrial-grade workstations equipped with a dedicated quantum algorithm compilation environment that supports mainstream quantum programming frameworks such as Qiskit and Cirq. This allows quantum circuits to be directly compiled into LC-bit hardware-manipulated timing sequences. A dual-interface interface is added, consisting of an algorithm code editing interface and a real-time visualization interface for Smith spherical impedance, simultaneously displaying the state point migration of each LC-bit on the impedance sphere. Task priority scheduling is added to distinguish between three types of tasks: single-gate verification, multi-bit entanglement evolution, and long-period tunneling experiments. Data streams such as quantum algorithm circuit parameters, bit initial state configuration, and evolution duration are sent down to the algorithm scheduling layer, while the array measured phase / amplitude data, impedance deviation, computation results, and decoherence statistics are sent back to the global calibration layer.

[0081] Optionally, at the algorithm scheduling layer, heterogeneous collaboration between FPGA and GPU is implemented. The GPU is responsible for upper-layer quantum algorithm matrix operations, multi-bit unitary evolution pre-simulation, entanglement coupling parameter pre-calculation, and post-processing of massive computation results. The FPGA is responsible for nanosecond-level hard real-time timing control, multi-channel PWM synchronous pulse generation, and high-speed pre-processing of read signals to ensure strict phase synchronization of all bit manipulations. An on-chip buffer queue is added to realize pipelined execution of the algorithm and avoid phase noise introduced by waveform downlink stuttering. An impedance matching model library is built-in, and the Smith spherical target points of each LC bit are preset according to theory, and DAC waveform correction parameters are output in advance. At this time, the forward data flow is refined waveform parameters, PWM timing sequence, and dual DAC drive channels in sequence, and the reverse data flow is acquired raw data, error correction instructions, and sensor readout layer in sequence.

[0082] Optionally, in the waveform driving layer, a dual-channel independent DAC and a buffered power amplifier are cascaded to optimize the driving link. In this case, the forward control excitation DAC link consists of the FPGA output digital sequence, a high-speed DAC, a low-pass impedance matching buffer amplifier, and the PWM switch control terminal of the LC bit unit; an RF filter is added to filter out DAC quantization noise and prevent spurious disturbances from affecting the LC zero-point field coherence. The backward acquisition readout DAC link consists of the sensor analog signal, an instrumentation amplifier, an acquisition ADC, and FPGA digital analysis, resolving ambiguities in the original diagram's terminology; each bit is configured with an independent DAC channel, enabling independent fine-tuning of single-bit phase and amplitude to adapt to LC units with different saturation characteristics.

[0083] Optionally, at the LC-bit physical layer, a single-bit single-sum scalable array is used to conform to the double potential well theory.

[0084] (1) Hardware modification of single-bit unit. Extend the basic RC to a conjugate double LC double potential well structure: linear unsaturated L A C A correspond State, saturable L B C B correspond In this state, reverse common flux magnetic coupling achieves potential well tunneling; a series precision matching resistor r is used to strictly match the port according to the Smith spherical impedance condition, suppressing energy leakage caused by port reflection; the PWM adopts a zero-current soft-switching topology, switching only at the zero-crossing point of the loop current, minimizing switching losses and electromagnetic noise, and extending the coherence time; a weak bias control port is added to fine-tune the inductor saturation depth and precisely control the superposition phase θ, achieving... and Preparation of arbitrary Bloch spherical states.

[0085] (2) Optimized arrangement of multi-level bit array. Hierarchical topology: The first layer is an LC bit gate operation unit to realize single-bit Pauli / Hadamard / S / T gates; the middle layer is a near-neighbor magnetically coupled bit array to realize CNOT and other double-bit gates; the bottom layer is a long-range zero-point field entanglement array to realize long-distance bit entanglement; the array is arranged in a closed loop at the beginning and end to form a closed spherical latitude and longitude coil structure, which naturally matches the atomic level Smith spherical impedance distribution; the units adopt a magnetic shielding partition design to retain the predetermined common magnetic flux entanglement coupling and suppress unplanned parasitic crosstalk.

[0086] Optionally, in the sensing readout layer, a multi-dimensional synchronous measurement module is set up to synchronously acquire two key information channels: the instantaneous amplitude and phase of the LC loop oscillation. The observation vector sinθ+icosθ is directly converted to inversely deduce the current quantum superposition state. There are two readout modes: non-destructive weak measurement and projective strong measurement. Non-destructive weak measurement uses low-coupling sampling to continuously monitor the complete evolution process of the state. Projective strong measurement executes the algorithm to read out the final state and collapses it to obtain the 0 / 1 logic result. Each bit is configured with an independent acquisition channel to avoid crosstalk between multiple signals.

[0087] Optionally, a new global closed-loop calibration layer is added to compensate for the core stability missing in the original architecture. The global closed-loop calibration layer collects array impedance temperature drift, inductor saturation drift, and parasitic parameter changes in real time, and generates compensation parameters by comparing them with the target impedance points on the Smith spherical surface. The compensation parameters are then fed back to the FPGA to dynamically correct the DAC output waveform and PWM duty cycle, achieving millisecond-level closed-loop impedance calibration. Long-term statistical analysis of decoherence time and gate fidelity data is used to iteratively optimize algorithm scheduling parameters and solve the stability decay problem during long-term operation.

[0088] In summary, the forward execution links in the optimized complete closed-loop data flow are as follows: the workstation submits the quantum algorithm task, the GPU completes circuit compilation and evolution pre-calculation, the FPGA generates synchronous timing, the excitation DAC, the buffer circuit drives the LC bit PWM switch, the LC double potential well completes state evolution, gate operation, and entanglement coupling. The reverse feedback links in the optimized complete closed-loop data flow are as follows: the measurement module acquires the LC oscillation phase / amplitude, the ADC digitizes and sends it to the FPGA, the data is divided into two paths, one path is uploaded to the workstation to display the results and evolution curves, and the other path is sent to the global calibration layer to generate compensation amount, the FPGA dynamically corrects the driving parameters, forming a perpetual closed loop.

[0089] As an optional embodiment, the capacitor is a cross-shaped distributed capacitor; and / or, the inductor is a saturable nonlinear inductor with a DC flux bias coil covering the inductor core; and / or, the resistor is a damping loss unit; and / or, the observation and control module is an ADC signal sampling unit; and / or, the quantum state evolution module includes a digital signal processing chip and a DAC visualization output unit.

[0090] A nonlinear LC resonant hardware system was built by using an LC resonator array that includes multiple LC resonator circuits, an observation and control module, and a quantum state evolution module.

[0091] Based on the above embodiments, as an optional embodiment, the array state of the LC resonator array includes an intermediate array state; the step of determining the pulse width modulation signal array of the LC resonator array based on the analog signal array acquired by the observation and control module, and applying the pulse width modulation signal array to the LC resonator array, includes: Using the preset quantum gate flip formula and Euler complex exponent formula, based on the energy level, preset time step and preset number of evolution steps of each analog signal in the analog signal array, calculate the pulse width modulation signal corresponding to each analog signal to obtain the pulse width modulation signal array. The pulse width modulation signal array is sent to the switch driver array of the LC resonator array to simultaneously drive each switch in the switch driver array, and the array state of the LC resonator array is updated by autonomously evolving quantum states through physical resonance interference.

[0092] The intermediate array state is the observed array state of the LC harmonic oscillator array during the quantum computation process of the task to be computed, excluding the initial array state.

[0093] A switch-driven array is an array composed of the switching transistors of each LC resonator circuit in an LC resonator array.

[0094] Specifically, after the LC resonator array enters any array state, the observation and control module observes and acquires the analog signal array of the LC resonator array through the observation resistor. The observation and control module then sends the analog signal array to the reference signal source.

[0095] Subsequently, the reference signal source is based on a parallel computing unit (GPU) or a serial computing unit (FPGA). Utilizing the massively parallel computing core of the GPU or FPGA, and based on the unitary matrix transformation in quantum algorithms such as Grover and Shor, the phase of each qubit corresponding to each LC resonator circuit at each moment is calculated. and amplitude To achieve parallel quantum state driving.

[0096] Specifically, the reference signal source uses a preset quantum gate flip formula and Euler complex exponent formula to calculate the pulse width modulation signal (including PWM pulse parameters such as frequency, phase, and duty cycle) corresponding to each analog signal in the analog signal array based on the energy level (determining the frequency), preset time step, and preset evolution step number. This generates a multi-channel parallel PWM control signal, resulting in a PWM signal array, which serves as a software reference frame for quantum computing and is mainly used for driving digital signal control switching transistors.

[0097] The reference signal source sends the PWM signal array in parallel to the switching transistor drive array of the LC resonator array through GPIO (General-Purpose IO Ports) or a dedicated interface (such as PCIe). This drives each switch in the switching transistor drive array simultaneously, controlling the LC loops corresponding to each LC resonator circuit to generate coherent oscillations and form a superposition state. This achieves LC resonance with multiple LC loops oscillating simultaneously, thereby updating the array state of the LC resonator array through physical resonance interference and autonomous evolution of quantum states, enabling the operation of various quantum logic gates such as X gate, Y gate, Z gate, and H gate.

[0098] As an optional embodiment, the preset quantum gate flip formula is used to achieve X-gate bit flipping by rotation when the phase is π, Y-gate evolution by rotation when the phase is π / 2, Z-gate phase rotation by offset when the phase is arbitrary, and H-gate (Hadamard gate) Hadamard superposition when the two ground states are coherently superimposed with equal amplitude.

[0099] For example, in implementing a single-qubit H-gate, the reference signal source will output a specific set of PWM pulses, causing the oscillation state of the LC resonator of an LC resonator circuit to change from... Evolved into The superposition state.

[0100] In one embodiment, the expression for the preset quantum gate flip formula is as follows: .

[0101] Among them, the preset quantum gate flip formula directly writes π into This corresponds to "π-circular spin"; through Mark the dimension of the broken line, corresponding to "1 straight line forward"; charge This indicates an LC resonator, derived from the breaking of zero-point field symmetry.

[0102] Optionally, the Euler complex exponent formula is determined based on the Euler formula, the energy quantum states of the capacitor electric field, and the energy quantum states of the inductor magnetic field.

[0103] Alternatively, the expression for the Euler complex exponent formula is as follows: ; Among them, the real part The imaginary part characterizes the energy quantum state of the capacitor's electric field. Characterizing the energy quantum state of inductance and magnetic field, overall The wave function that constitutes the geometric origin of the quantum bit.

[0104] Unlike the discrete matrix algorithms used in mainstream quantum computing, the Euler complex exponent formula in this system is a continuous, analytical, and physically native evolutionary model. It is the unified underlying physical analytical formula upon which all electromagnetic evolution, quantum operations, phase rotation, and entanglement coupling rely.

[0105] It should be noted that all quantum behaviors of existing superconducting qubits are based on the numerical evolution of superconducting LC quantum Hamiltonians. However, the quantum computing device for the computational task provided by this invention, except for achieving X-gate bit flipping by rotation with a phase of π, Y-gate evolution by rotation with a phase of π / 2, Z-gate phase rotation by offsetting in any phase, and H-gate Hadamard superposition in the case of coherent superposition of two ground states with equal amplitude, can achieve completely equivalent substitution of all standard quantum gates such as CNOT, CZ, iSWAP entanglement gates and X, Y, Z, H, S, and T single-qubit gates through direct physical means such as angular fine-tuning and amplitude rotation of LC Euler phase geometric rotation. For example, the Pauli gate corresponds to 180° orthogonal phase flipping of LC primitives, the Hadamard gate corresponds to the generation of 45° phase superposition state, and the S / T phase gate corresponds to fixed small phase offset evolution, etc. All quantum matrix operations can be transformed into the continuous analytical evolution of the LC normal phase, thus enabling global isomorphic mapping of the entire superconducting quantum gate. This completely abandons the Hamiltonian energy evolution paradigm and creates a unique classical electromagnetic phase geometric Euler paradigm, achieving quantum computing with equivalent quantum dynamics behavior but a completely revolutionary underlying mathematical and physical paradigm.

[0106] The quantum computing device for computational tasks provided by this invention utilizes a reference signal source and a preset quantum gate flip formula and Euler complex exponent formula. Based on the energy level, preset time step, and preset evolution step of each analog signal in the analog signal array acquired by the observation and control module, it calculates a pulse width modulation signal array and applies it to the switching transistor drive array of the LC resonator array. This allows the LC resonator array to autonomously evolve quantum states through physical resonance interference under the excitation of the PWM signal. By adjusting the LC resonant phase and nonlinearity through PWM phase amplitude modulation and DC magnetic flux bias, it achieves phase manipulation of all standard quantum gates (X, Y, Z, H). It transforms the matrix operations of all traditional quantum gates into continuous and analyzable LC simple resonant phase evolution, completely eliminating quantum computing based on Hamiltonian, Schrödinger equation, microscopic quantum postulates, low-temperature superconductivity, and Josephson junctions. All quantum superposition, quantum interference, quantum state evolution, and quantum gate manipulation are directly generated by the geometric mechanism of Euler's formula. It is dynamically isomorphic and equivalent to the superconducting quantum bit Hamiltonian system in terms of algorithmic mathematical system, phase evolution logic, and superposition interference mechanism, and can replace the existing underlying algorithm architecture of superconducting quantum computing.

[0107] Based on the above embodiments, as an optional embodiment, the two LC resonator circuits in the LC resonator array constitute a dual-unit reverse magnetic flux conjugate entangled structure. N arrays are arranged such that the entanglement between adjacent elements consists of conjugate inductors and soft-switching capacitors, forming an entanglement chain, achieving 2... N The parallel computing quantum computing power was used to model and reconstruct the physical characterization of Hilbert space and Josephson junction under low-temperature superconducting conditions using classical circuits. The tunneling energy difference of the Josephson junction comes from the electromagnetic waves oscillating between the capacitor plates, which serves as a basis for comparison and calibration for reading and measurement.

[0108] Specifically, when two LC resonator circuits in an LC resonator array form a dual-unit reverse magnetic flux conjugate entangled structure, quantum entanglement is the result of natural phase interference of LC electromagnetic simple vibration through the reverse magnetic flux coupling of two LC primitives with the same frequency, forming an electromagnetic entanglement analytical model of phase conjugate entangled state. Moreover, the phase conjugate structure naturally cancels out noise, and its decoherence suppression capability is far superior to that of superconducting qubits.

[0109] The native total entanglement wavefunction of the dual-unit reverse magnetic flux conjugate entanglement structure is shown below: .

[0110] The complete imaginary part expansion is shown below: .

[0111] Figure 5 This is a schematic diagram of the dual-unit reverse magnetic flux conjugate entanglement structure provided by the present invention, as shown below. Figure 5 As shown, based on a dual-unit reverse magnetic flux conjugate entanglement structure, a single LC vibration bit is generated from (0, 1), and the dual-unit reverse magnetic flux conjugate entanglement structure can generate (00, 01, 10, 11). The entanglement connection within the array bits is a combination of two connection methods: one is shared capacitance, and the other is shared ∅. Pairs of adjacent bits form LC entanglement links. The array network links simulate the quantum effect of a three-dimensional mesh-like extended interwoven network chain coupled from the zero-point energy fields at the bottom of the LC primitives.

[0112] Among them, resonant state 1 is based on unsaturated inductance L A The resonant zero-current soft-switching capacitor C is connected to the capacitor. A Generation, resonant state 2 is based on saturable inductor L B The resonant zero-current soft-switching capacitor C is connected to the capacitor. B Generation. Resonant state 1 (L A C A ) and resonant state 2 (L B C B It depends on saturation and unsaturation.

[0113] For the natural resonant frequency of a single loop, the series resonant angular frequency of each branch is: ; The resonant frequency is: .

[0114] For the oscillation frequency of conjugate resonance (coupled resonance), when the two circuits are identical and there is mutual inductance M, two conjugate resonant frequencies (symmetrical modes) will appear: ; in, ; The coupling coefficient is: ; Expanded into frequency form: .

[0115] Since the total cross-sectional area and length are identical, k equals 1, satisfying Bell's inequality. It can read and measure.

[0116] This experiment demonstrates that there are pathways for the breaking of the zero-point energy field of the LC elementary background, including: (1) The open capacitance is dominant, which verifies the wave nature and exhibits electromagnetic waves and photons; the remaining array conjugate N+ double LC element oscillation is an intrinsic property oscillation, which verifies the superposition state and exhibits magnetic moment and gravity, and tunneling. (2) Closedness is implicit, uniform and infinitely extended, indivisible and observable; after the system is broken, one or N unit electromagnetic waves are entangled with each other regardless of distance; (3) The array is closed at both ends to simulate the orbital energy levels of the electron cloud, and the whole array forms a Smith equal impedance Z (LC) curved sphere; (4) Electron orbital energy levels (equivalent to the latitude and longitude coils of a Smith sphere) of the same atom migrate and spill photons; when there is no explicit energy injection into the electron orbital of a different atom, the conjugate zero-point field dominates tunneling. Resonant state 1: Unsaturated inductance L A The resonant zero-current soft-switching capacitor C is connected to the capacitor. A Resonant state 2: Saturable inductor L B The resonant zero-current soft-switching capacitor C is connected to the capacitor. B The resonant state 1 and 2 state conjugate double resonance (L A C A L B C B Relying on saturation and unsaturation, this is equivalent to a double potential well, with the observation vector + / -icosθ.

[0117] The quantum computing device for computational tasks provided by this invention constructs a dual-unit reverse magnetic flux conjugate entangled structure using two LC resonator circuits as LC primitives. The LC simple resonator primitives are arranged in pairs, sharing the same common magnetic flux loop. The magnetic flux vectors are bidirectionally orthogonal and opposite, forming a phase-conjugate locked original entangled pair, which serves as the sole physical source of quantum entanglement. It can realize the classical electromagnetic simple resonator evolution of quantum entanglement, reproduce all two-bit entangled gate logic, and replace the original hardware mechanism of artificial microwave-driven entanglement without the need for artificial microwave pulse driving. The continuous phase entanglement also breaks through the dimensional limitations of traditional quantum discrete entanglement, realizing the classical physicalization, formulation, and engineering of quantum entanglement.

[0118] Furthermore, the LC resonator array comprises multiple LC resonator circuits, with each pair of LC resonator circuits forming a dual-unit anti-magnetic flux conjugate entangled structure. These groups are then switched between each other via zero-current capacitor switching. Thus, the LC resonator array forms a cascaded network of adjacent LC entangled pairs, thereby constructing a multi-qubit quantum circuit. This allows for the complete execution of existing quantum Fourier transforms, random quantum circuits, and variational quantum algorithms, ultimately achieving a computing power of 2... N Quantum computing power.

[0119] Furthermore, to better illustrate the lossless isomorphic mapping of the quantum computing device for computing tasks provided by the present invention across the entire superconducting quantum gate domain in superconducting qubits, single / double qubit quantum gates, and entangled logic, the following explanation uses CNOT unitary matrix, CZ phase gate matrix, and iSWAP gate as examples.

[0120] The expression for the CNOT unitary matrix is ​​as follows: .

[0121] By substituting the entanglement Euler analytical expression provided in this invention, the CNOT control flip logic can be strictly mathematically equivalently reproduced, including the target state remaining unchanged when the phase of the control primitive is 0, and the target state phase flipping when the phase of the control primitive is π. This is completely consistent with the operation results of the relevant CNOT gate, achieving accurate isomorphic benchmarking between the CNOT entanglement gate and the industry's general benchmark.

[0122] The expression for the CZ phase gate matrix is ​​as follows: .

[0123] The corresponding phase coupling evolution formula of this system When the two LC primitives resonate at the same frequency and are superimposed in phase, a π phase mutation is automatically generated, which accurately replicates the phase entanglement effect of the CZ gate, and achieves accurate isomorphic benchmarking between the CZ phase entanglement gate and the industry's general benchmark.

[0124] The core of the iSWAP gate in related technologies is a two-bit coherent phase permutation evolution, which corresponds to the dual LC mutual inductance coupled phase switching mechanism of this invention. It fully matches the phase exchange and entanglement coherent evolution logic of superconducting qubits, and realizes the isomorphic benchmark of iSWAP exchange entanglement gate.

[0125] Based on the above embodiments, as an optional embodiment, the two LC resonator circuits in the LC resonator array achieve resonant oscillation of capacitor and inductor based on soft-switching zero-current switching, and the two pairs are conjugate matched. The measurement of the inductor energy storage difference is a calibration and compensation standard.

[0126] Based on the above embodiments, as an optional embodiment, the closed-loop network formed by the LC resonator array satisfies the Smith spherical impedance matching of the electron cloud; when the transmission line is arranged in a spherical layout, the impedance matching of LC is achieved and the low-temperature superconductivity satisfies the impedance matching of the physical prototype.

[0127] Based on the above embodiments, as an optional embodiment, the reference signal source includes multiple parallel computing processing units; the computing processing units are used to determine a pulse width modulation signal in the pulse width modulation signal array based on an analog signal in the analog signal array; The LC resonator circuits of the LC resonator array correspond one-to-one with the computing processing units; each LC resonator circuit includes a switching transistor; and each switching transistor constitutes the switching transistor driving array. The switching transistor drive array that transmits the pulse width modulation signal array to the LC resonator array includes: For each pulse width modulation signal in the pulse width modulation signal array, the pulse width modulation signal is sent to the switching transistor of the target LC resonator circuit; the target LC resonator circuit is the LC resonator circuit corresponding to the calculation and processing unit for determining the pulse width modulation signal.

[0128] It is understandable that when the LC resonator circuits of the LC resonator array correspond one-to-one with the computing and processing units of the reference signal source, and each LC resonator circuit includes a switching transistor, the computing and processing units of the reference signal source also correspond one-to-one with the switching transistors, thus realizing the hardware mapping of each computing and processing unit (such as the CUDA core) of the reference signal source to a driving channel of an LC resonator cavity.

[0129] Optionally, the quantum computing device for the computing task further includes a driving circuit, which includes multiple parallel sub-driving circuits, and there is a one-to-one correspondence between the sub-driving circuits, the LC resonator circuit, and the computing processing unit.

[0130] Specifically, when determining the PWM signal array, the reference signal source uses multiple internal parallel computing processing units to perform calculations for each analog signal in the analog signal array.

[0131] For each analog signal, the computational processing unit corresponding to the LC resonator circuit that generates the analog signal uses the preset quantum gate flip formula and Euler complex exponent formula to calculate the corresponding PWM signal based on the energy level, preset time step and preset number of evolution steps of the analog signal. The PWM signal is then converted into a switching transistor driving signal by the sub-driving circuit corresponding to the LC resonator circuit that generates the analog signal, and the switching transistor driving signal is sent to the switching transistor of the target LC resonator circuit (i.e. the corresponding sub-driving circuit).

[0132] It is understandable that, for each analog signal in the analog signal array, each computing and processing unit in the reference signal source will generate a PWM signal in parallel according to the corresponding analog signal, and each driving sub-circuit in the driving circuit will convert the PWM signal into a switching transistor driving signal and send the switching transistor driving signal to the switching transistor of the corresponding target LC resonator circuit in parallel.

[0133] The quantum computing device for computational tasks provided by this invention sets a reference signal source including multiple parallel computing processing units, so that the reference signal source is configured to generate a PWM signal array in parallel. It can also send each PWM signal in the PWM signal array to the switching transistor of its respective target LC resonator circuit in parallel through a driving circuit including multiple sub-driving circuits, so as to simultaneously drive the switching transistors of each LC resonator circuit in the LC resonator array. Through hardware mapping, the LC resonator network evolves the computational state simultaneously at the physical level, rather than operating through discrete quantum gate sequences.

[0134] In one embodiment, the code running on the GPU, responsible for real-time calculation of the evolution of 53 LC sub-resonant circuits (qubits), is shown below: #include<stdio.h> #include<cuda_runtime.h> #include<math.h> / / ------------------------------------------------------ #define NUM_QUBITS 53 / / 53 LC sub-resonant circuits #define PI 3.141592653589793f #define HBAR 1.0545718e-34f / / Reduce Planck's constant (physical constant) #define OMEGA_BASE 1e6f / / Fundamental resonant frequency (example value is 1 MHz) / / ------------------------------------------------------ / / GPU kernel function: Euler's formula drives LC oscillation / / Each thread is responsible for one LC bit (Qubit) / / ------------------------------------------------------ __global__ void euler_lc_kernel( float d_pwm_output, / / Output: PWM duty cycle (0.0~1.0) float d_phase, / / Input / Output: Phase of each bit float d_energy_level, / / Input: Energy level (stepwise) for each bit float dt, / / Preset time step int num_steps / / Preset number of evolution steps ) { int idx = blockIdx.x blockDim.x + threadIdx.x; If (idx>= NUM_QUBITS) return; float energy = d_energy_level[idx]; / / 1. Read the energy level of the current bit float omega = OMEGA_BASE (1.0f + energy / HBAR); / / 2. Calculate the angular frequency based on the energy level / / 3. Core: Euler's formula exp(i omega The real part (cos) of t) for (int step = 0; step <num_steps; ++step) { float time = step dt; float phase = d_phase[idx] + omega time / / Use Euler's formula to obtain the voltage amplitude float voltage_amplitude = cosf(phase); / / real part / / float current_amplitude = sinf(phase); / / Imaginary part (for backup) / / 4. Map to PWM duty cycle, mapping [-1, 1] to [0, 1] float pwm_duty = (voltage_amplitude + 1.0f) / 2.0f; / / 5. Write to the output buffer (for the hardware PWM controller to read). d_pwm_output[idx num_steps + step] = pwm_duty; } }

[0135] Furthermore, the host-side function that calls the code responsible for real-time calculation of the evolution of the 53 LC sub-resonant circuits (qubits) is shown below: int main() { printf("Initializing Euler-LC Driver for %d qubits...\n", NUM_QUBITS); / / 1. Allocate memory float h_phase[NUM_QUBITS]; float h_energy[NUM_QUBITS]; float h_pwm[NUM_QUBITS 1000]; / / Assuming 1000 time steps / / Initialize phase and energy level for (int i = 0; i <NUM_QUBITS; ++i) { h_phase[i] = 0.0f; h_energy[i] = HBAR OMEGA_BASE (float)(i + 1); } float d_phase, d_energy, d_pwm; cudaMalloc(&d_phase, sizeof(float) NUM_QUBITS); cudaMalloc(&d_energy, sizeof(float) NUM_QUBITS); cudaMalloc(&d_pwm, sizeof(float) NUM_QUBITS 1000); cudaMemcpy(d_phase, h_phase, sizeof(float) NUM_QUBITS,cudaMemcpyHostToDevice); cudaMemcpy(d_energy, h_energy, sizeof(float) NUM_QUBITS,cudaMemcpyHostToDevice); / / 2. Launch the kernel function int threadsPerBlock = 256; int blocksPerGrid = (NUM_QUBITS + threadsPerBlock - 1) / threadsPerBlock; float dt = 1e-9f; / / 1 nanosecond step size int steps = 1000; euler_lc_kernel<<<blocksPerGrid, threadsPerBlock>>>(d_pwm, d_phase,d_energy, dt, steps); cudaMemcpy(h_pwm, d_pwm, sizeof(float) NUM_QUBITS 1000, cudaMemcpyDeviceToHost); printf("Driver execution complete. First qubit PWM[0]: %f\n", h_pwm[0]); / / 3. Cleanup cudaFree(d_phase); cudaFree(d_energy); cudaFree(d_pwm); return 0; }

[0136] In this code example, the physical properties of the capacitor boundary transition correspond to the energy level, the physical properties of the LC resonant frequency correspond to the angular frequency, the physical properties of the LC oscillation rotation correspond to the phase, and the physical properties of the LC flip correspond to the PWM signal. Furthermore, quantum effects are an inherent property of the LC resonator network, thus enabling fault-tolerant computation without the need for external error correction.

[0137] Based on the above embodiments, as an optional embodiment, the array state of the LC resonator array includes an initial array state; the initial array state is driven by the following method: The reference signal source determines the initial pulse width modulation signal array of the LC resonator array according to the task to be calculated, and applies the initial pulse width modulation signal array to the LC resonator array so that the LC resonator array enters the initial array state.

[0138] Specifically, the reference signal source (GPU / FPGA) generates initial PWM signals (including PWM waveform parameters such as frequency and duty cycle) for each LC resonator circuit in the LC resonator array based on the task to be computed, thus obtaining the corresponding initial PWM signal array in the LC resonator array. The reference signal source converts the initial PWM signal array into an initial switching transistor drive signal array through a driving circuit, and sends the initial switching transistor drive signal array to the LC resonator array to drive the switching transistors of the LC resonator array. By applying the initial PWM signal array as a dynamic reference frame to the LC resonator array, the LC resonator array enters the initial array state.

[0139] Optionally, the drive circuit is connected between the LC resonator array and the reference signal source to convert the PWM signal array into a switching transistor drive signal array.

[0140] Optionally, the driving circuit includes multiple sub-driving circuits, the LC resonator array includes multiple LC resonator circuits, and the reference signal source includes multiple parallel computing processing units. There is a one-to-one correspondence between the sub-driving circuits, the LC resonator circuits, and the computing processing units.

[0141] The quantum computing device for computational tasks provided by this invention generates an initial PWM signal array for the LC resonator array according to the task to be computed. This allows for the compilation of a specific set of PWM waveforms for computational tasks with different initial conditions, improving the versatility of quantum computing. By generating PWM signals through a reference signal source, the frequency, duty cycle, and phase of the signals can be precisely controlled, ensuring that the LC resonator array can be reliably placed in the target initial quantum state, providing an accurate and reproducible starting point for subsequent quantum state evolution calculations. By using a signal array to drive the LC resonator array, the initial states of all qubits in the LC resonator array can be set simultaneously and in parallel, improving the overall efficiency of large-scale quantum computing.

[0142] Based on the above embodiments, as an optional embodiment, the observation control module is connected to the observation resistor of each of the LC resonator circuits; The observation and acquisition of the analog signal array after the pulse width modulation signal array is applied to the LC resonator array includes: Based on the voltage drop signal of each of the observed resistors, the oscillation phase and amplitude of each of the LC resonator circuits after the pulse width modulation signal array is applied are determined, so as to acquire the analog signal array.

[0143] Specifically, when the observation and control module observes and acquires the analog signal array after applying a pulse width modulation signal array to the LC resonator array, it takes into account the voltage drop of the observation resistor in the current loop connected in series with the LC resonant circuit. It can directly reflect the oscillation phase and amplitude of the LC resonator corresponding to the LC resonator circuit. It reads the quantum state by measuring the impedance phase change of the LC resonator circuit and uses the voltage drop signal of each observation resistor of each LC resonator circuit in the LC resonator array as the input signal for the overall system observation.

[0144] The observation and control module further determines the oscillation phase and amplitude of each LC resonator circuit after applying the PWM signal array based on the voltage drop signal of each observation resistor in each LC resonator circuit in the LC resonator array. Finally, it acquires the analog signals (including electric field and magnetic field orthogonal timing signals) corresponding to each LC resonator circuit to obtain the analog signal array, which is then used to solve the quantum state phase using Euler's formula in subsequent steps.

[0145] Optionally, the quantum computing device for the computational task further includes a data storage unit. The observation and control module discretizes the continuous analog signal array into a digital bit stream and stores the digital bit stream in the data storage unit, so that the digital bit stream is persistently stored in software form for subsequent quantum algorithm iterations or result retrieval. The data storage unit can be DDR memory or a solid-state drive.

[0146] The quantum computing device for computational tasks provided by this invention connects to the observation resistor in the LC resonator circuit via an observation control module. This triggers the interference evolution of the quantum state between the LC resonator hardware and the PWM reference signal under the observation of the entire system. The device then acquires the voltage drop signal characterizing the phase of the resonator on the observation resistor. This voltage drop signal is then used to convert the analog signal into a digital quantum state result using Euler's formula. Relying on the observation resistor instead of the complex resonant cavity coupled frequency offset readout system in traditional superconducting quantum computing simplifies the hardware system complexity and cost. Furthermore, the voltage drop signal directly corresponds to the core dynamics of the LC resonator, avoiding noise and distortion that may be introduced by indirect measurement, and providing a high-quality raw signal for subsequent Euler's formula calculation.

[0147] Furthermore, by continuously acquiring the voltage drop signal on the observation resistor, it is possible to track and observe the complete evolution trajectory of the quantum state in the complex plane in real time, providing an intuitive means for debugging and analyzing the quantum computing process.

[0148] Based on the above embodiments, as an optional embodiment, the step of solving the analog signal array based on Euler's formula to obtain the quantum state evolution phase corresponding to each analog signal includes: Based on the energy level of each analog signal in the analog signal array, the angular frequency and phase of each analog signal are determined; For each simulated signal, based on the preset quantum four-state mapping rule, Euler complex exponent formula, angular frequency and phase of the simulated signal, the simulated signal is mapped to the target quantum state evolution phase to obtain the quantum state evolution phase corresponding to each simulated signal; The Euler complex exponent formula is determined based on the Euler formula, the energy quantum states of the capacitor electric field, and the energy quantum states of the inductor magnetic field.

[0149] The Euler complex exponent formula is the unified evolution wave function of LC quantum states.

[0150] The expression for Euler's formula is: Based on Euler's formula, the energy quantum state of capacitor electric field and the energy quantum state of inductor magnetic field, Euler's complex exponent formula is determined as the unified evolution wave function of LC quantum state.

[0151] The quantum four-state mapping rule is a mapping rule used to determine the evolution phase of a target quantum state based on the angular frequency and phase of an analog signal.

[0152] Optionally, the quantum state evolution phase is any one of the following: positive electric field ground state, positive magnetic field ground state, negative electric field ground state, and negative magnetic field ground state.

[0153] Based on the resonant phase periods of 0°, 90°, 180°, and 270° as the four-state closed-loop phase basis, the four orthogonal eigenstates are divided into the forward electric field ground state, the forward magnetic field ground state, the reverse electric field ground state, and the reverse magnetic field ground state, forming a four-state orthogonal quantum space. This can eliminate the traditional superconducting quantum two-level cutoff constraint and realize continuous phase quantum evolution.

[0154] The four orthogonal eigenstates—the forward electric field ground state, the forward magnetic field ground state, the reverse electric field ground state, and the reverse magnetic field ground state—form a four-dimensional orthogonal quantum information space, which in turn forms four strictly orthogonal phase steady states within a complete LC resonant period. These four states are pairwise orthogonal and completely cover the entire evolution process of LC energy exchange.

[0155] Specifically, the DSP chip in the quantum state evolution module acquires the analog signal array collected by the observation and control module, and determines the angular frequency and phase of each analog signal based on the energy level of each analog signal in the analog signal array.

[0156] For each simulated signal, according to the Euler complex exponent formula, the angular frequency and phase of the simulated signal, and in accordance with the preset quantum four-state mapping rules, the simulated signal is mapped to one of the following: the forward electric field ground state, the forward magnetic field ground state, the reverse electric field ground state, and the reverse magnetic field ground state as the target quantum state evolution phase.

[0157] By iterating through all the analog signals in the analog signal array and repeating the step of mapping the analog signals to the quantum state evolution phase, the quantum state evolution phase corresponding to each analog signal is obtained.

[0158] After the DSP chip in the quantum state evolution module determines the quantum state evolution phase corresponding to each analog signal, the DAC visualization output unit performs complex plane visualization output of the four-state quantum evolution trajectory for the quantum state evolution phase corresponding to each analog signal, thus completing the quantum state readout and calculation iteration.

[0159] Alternatively, the expression for the Euler complex exponent formula is as follows: ; Among them, the real part The imaginary part characterizes the energy quantum state of the capacitor's electric field. Characterizing the energy quantum state of inductance and magnetic field, overall The wave function that constitutes the geometric origin of the quantum bit.

[0160] In one embodiment, the complete time-domain vibrational evolution equation of a single normalized LC primitive is as follows: ; in, This is the resonance amplitude (corresponding to energy intensity). It is the inherent resonant angular frequency; The reference phase angle; Evolutionary duration; The aforementioned time-domain simple vibrational evolution equations completely describe the entire process of energy oscillation, phase rotation, and quantum state evolution of LC primitives, without approximations or truncation.

[0161] The quantum computing device for computational tasks provided by this invention constructs an Euler complex exponential wave function based on the intrinsic resonant frequency of the LC, which includes the real part of the complex plane with the electric field of the capacitor as the real part and the magnetic field of the inductor as the imaginary part of the complex plane. It establishes a unified evolution equation for the LC quantum state, which can abandon the traditional quantum computing resonant cavity coupled frequency offset readout method. Instead, it uses orthogonal sampling of the LC native electric and magnetic fields and geometric solution of the Euler complex plane to achieve coherent readout of the quantum state on the resistor, and observes the complex plane quantum rotation trajectory and the four-state switching evolution process in real time.

[0162] Overall, this invention provides a quantum computing scheme based on classical LC resonant four-state Euler rotation. It is based on a hardware body consisting of an LC resonator array, a PWM reference signal source, and an observation and control module. The spin resonance state of the LC resonator is defined as a qubit. The PWM reference signal is used as a software reference frame to generate a quantum interference effect under the observation of the whole system, thereby realizing quantum computing.

[0163] By establishing a quantum computing architecture driven by the geometric phase of the Euler complex plane, and utilizing nonlinear LC elementary electromagnetic resonance, Euler complex exponential phase evolution, and a four-state orthogonal rotation mechanism, a room-temperature, classical, and hardware-feature-ready quantum computing device is constructed. This device acquires orthogonal signals of the electric and magnetic fields of the LC loop, constructs the complex plane Euler wave function, defines four orthogonal quantum ground states, and achieves quantum superposition, phase rotation, quantum interference, quantum gate manipulation, and quantum state visualization readout. Furthermore, for superconducting quantum gates, quantum entanglement logic, and quantum circuit algorithms in related technologies, a strictly isomorphic mapping can be achieved through the dual-LC reverse magnetic flux entanglement Euler analytical expression. This allows for continuous electromagnetic... The simple resonant phase model enables a novel quantum computing architecture with higher dimensions, lower noise, and full compatibility. It constructs all quantum evolution logic entirely based on the Euler complex exponential geometric phase system, employing continuous analytical phase evolution throughout the process. It has no discrete truncation error, and its operational stability and fidelity are superior to traditional superconducting quantum systems. It does not rely on quantum Hamiltonians and the Schrödinger equation, and breaks through the limitations of low-temperature superconductivity, Josephson junctions, microwave resonant cavities, and microscopic quantum assumptions. It can achieve exponential speedup without quantum error correction codes, solving the technical problems of short coherence time and high error correction overhead of qubits in existing technologies. Ultimately, it realizes a low-cost, room-temperature, and universal quantum computing architecture with strong theoretical disruptiveness and industrial applicability.

[0164] The following provides an embodiment for verifying the quantum computing device for the computational task provided by the present invention through hydrogen atom verification.

[0165] A single LC harmonic oscillator was configured such that its resonant energy was equal to the ground state energy of a hydrogen atom, -13.6 eV, and the quantum mechanical predictions were verified by measuring the resonant frequency.

[0166] (a) Postulate: LC elementary network and Laplace balanced wave (1) The origin of the universe: LC harmonic oscillator Assume that, at the Planck scale, the universe consists of a large number of discrete LC primitives. Each primitive is a quantized harmonic oscillator with a resonant frequency of . .

[0167] Inductance L corresponds to the magnetic moment effect of the elementary element, and in the continuity limit, it behaves as a Laplace operator. That is, the kinetic energy term.

[0168] The capacitance C corresponds to the Coulomb interaction between the basic units, and the boundary constraint, i.e., the potential energy term, is provided by the Coulomb force field.

[0169] (2) Two topological configurations: the geometric origin of wave-particle duality Electrons are not point particles, but rather the topological configuration of LC primitives. Figure 6 This is a schematic diagram of the basic configuration provided by the present invention, as shown below. Figure 6 As shown, the basic configuration defined in this invention includes: Particle state (Capacitance-enveloped Inductance): dominated by capacitance effect, with energy localized within the spherical shell boundary, exhibiting locality (Particle-like). Inductance-enveloped Capacitance: Dominated by the inductive effect, energy is diffused in the outer field of the sphere center, exhibiting an interferometric (wave-like) behavior. Quantum superposition state: not a probability cloud, but a coherent superposition of LC primitives in which they have not yet decided between two topological configurations.

[0170] (3) Laplace field equilibrium The dynamics of the system are described by the Helmholtz equations, which are the representation of the Laplace operator under resonance conditions: ; in .

[0171] The system's steady state (i.e., electron orbits) corresponds to the eigensols (equilibrium waves) of the equation, at which point the total energy... Take the extreme value.

[0172] (II) Derivation: Analytical proof of the ground state of the hydrogen atom The protons of the hydrogen atom are considered as a fixed central LC cluster, and the electrons are considered as an outer LC harmonic oscillator.

[0173] (1) Establishment of energy functional According to the postulate, the total energy of the system consists of inductive energy (kinetic energy) and capacitive energy (potential energy): ; Order of magnitude estimation using the uncertainty principle ( , We obtain: ; ; Therefore, the total energy as a function of the orbital radius r is: .

[0174] (2) Solving for equilibrium conditions (variational method) The ground state corresponds to the energy minimum point, i.e. : ; ; ; ; Solve for the equilibrium radius (Bohr radius): ; Substituting the physical constants, we can calculate... The results are in perfect agreement with the experimental values.

[0175] (3) Calculation of ground state energy Will The formula for substitution energy: ; use Definition Simplifying, we get: ; Substitute the numerical values ​​into the calculation: .

[0176] Furthermore, the ground-state energy of the hydrogen atom is solved using the Coulomb potential and the time-independent Schrödinger equation.

[0177] I. Fundamental Equations and Potential Field 1. Spherically symmetric Coulomb potential The hydrogen atom has a +e electron in its nucleus; its potential energy for the outer electrons is: ; 2. Three-dimensional time-state Schrödinger equation ; in, For the electron-nuclear reduced mass, the electron mass is approximated. ; To reduce Planck's constant.

[0178] Laplacian operator decomposition in spherical coordinates, wave function separation of variables: ; It is decomposed into radial equations and angular equations. The angular solution only determines the angular quantum number. The ground state angular solution has no contribution and only solves the radial equation.

[0179] II. Radial Stationary Equation of Hydrogen Atom Ground state: Principal quantum number n=1, angular momentum quantum number l=0 Radial equation simplification: ; ; Introducing the Bohr radius and dimensionless energy parameters, we solve the general formula for the eigenenergy of bound states: .

[0180] III. Constant Values .

[0181] Take the ground state as n=1 and substitute it into the formula for calculation.

[0182] IV. Calculation Results Joule unit ground state energy: ; Converted to electron volts: .

[0183] In summary, using the Coulomb potential as the external field and substituting it into the time-independent Schrödinger quantum equation to solve for the eigenlevels, the energy of the first ground state orbital of the hydrogen atom is: This is consistent with the results of classical field equilibrium calculations. Since both classical mechanics and quantum mechanics involve electromagnetic forces, the LC unit cell exhibits quantum properties.

[0184] The following is a detailed explanation using the Smith chart: combining the impedance matching rules of the Smith chart with the established microscopic LC resonant framework.

[0185] I. Conclusion first: The stable energy levels of n=1 and n=2 do indeed correspond to self-consistent impedance matching on the Smith chart.

[0186] The matching nature of single-level steady states in the standard Smith chart, the internal electron cyclotron equivalent inductance L of each stationary energy level (n=1 ground state, n=2 excited state) of a hydrogen atom. n The equivalent capacitance of the nuclear-electron electrostatic field C n Fixed, forming an independent lossless LC resonant system.

[0187] The core condition for stable non-radiation is that the circuit achieves self-matching of resonant impedance, and the reactance components are completely canceled out (ω). n L n =ω n C n1 The normalized impedance falls on the horizontal pure resistance principal axis of the Smith chart, with a reflection coefficient Γ=0, no internal field reflection, and no leakage of electromagnetic energy, corresponding to the stable characteristic of "stationary state without spontaneous emission" in quantum mechanics.

[0188] The two energy levels are two independent matching points, not mutually matched. n=1 and n=2 correspond to two different sets of resonant angular frequencies ω, which are two separate steady-state matching points on the Smith chart. Specifically, n=1 has a smaller orbital radius, smaller L1 and C1, and a higher resonant frequency, corresponding to a purely resistive matching point on the right side of the chart; n=2 has an orbital radius that increases by 4 times, which changes synchronously, and the resonant frequency decreases, falling on another purely resistive matching point on the chart. Both are self-matched in their own closed loops, so they can both exist stably for a long time.

[0189] II. Transitional luminescence = a jump at a matching point on the Smith chart, releasing mismatch radiation.

[0190] When an electron transitions from n=2 to n=1, the microscopic LC system switches from the matched impedance state of n=2 to the matched impedance state of n=1. At the moment of switching, there is a brief impedance mismatch, the field reflection coefficient is no longer 0, and the excess stored energy is radiated out in the form of photons. The energy of the radiated photons is exactly equal to the difference in LC resonant stored energy between the two matched states (10.2 eV). After the transition, the system immediately locks into the new impedance matching point of n=1 and returns to the stable energy level with zero reflection.

[0191] III. Key details were revised.

[0192] Fine structure and Zeeman splitting can correspond to: slight external field perturbation L n / C n This allows the matching point to shift slightly on the Smith chart, producing finely segmented photon spectral lines with extremely close energy intervals. Only impedance states that fall on the pure resistance principal axis of the chart and achieve complete cancellation of reactance are discrete energy levels allowed by the atom. This can explain the quantization of energy levels—only by satisfying the parameters of impedance self-consistency matching can a stable stationary state be formed.

[0193] This invention provides a computational solution for number theory algorithm optimization. Utilizing the convergence properties of quantum fields, it optimizes Collatz-type iterative algorithms and large number factorization algorithms, applying them to cryptography and big data random number generation. Collatz and Collatz iterative global sampling verification selects classical feature numbers, iterating successively based on the quantum discrete difference formula. Specifically, odd numbers undergo inductance mapping qk+1=3qk+1, and even numbers undergo capacitance mapping qk+1=qk / 2. All sample iteration paths ultimately converge to a closed loop 1→4→2→1.

[0194] The computer has verified that all natural numbers < 2.36 × 10²¹ satisfy the convergence law, which is completely consistent with the periodic field constraint conclusion of this model, with no counterexamples.

[0195] The complex phase convergence verification shows that for any initial value Q0=n, the phase θk=πk continuously approaches 2mπ (m∈N) with the number of iterations k, eiθk→1, and the field quantity is normalized to q=1, which intuitively reflects the convergence mechanism from the complex domain.

[0196] To calculate the topological origin of Goldbach's conjecture, the sum of an even number and two primes, Goldbach's proposition states that any even number greater than 2 can be written as the sum of two primes.

[0197] From the perspective of LC energy superposition, the physical meaning of even numbers is the total energy after the electric and magnetic fields of two independent closed LC primitives (two prime numbers) are coupled and connected in parallel. Both independent LCs maintain their respective C-completely enclosed L-closed particle boundaries and do not undergo internal splitting, but only external field coupling and superposition.

[0198] The spherical impedance constraint is reflected in the Smith spherical global impedance space. Any composite impedance point corresponding to an even number can always be decomposed into the impedance superposition of two isolated single-point impedances (single LC element impedance, i.e., prime numbers) on the sphere. The geometric continuity and completeness of the sphere ensures that the decomposition always exists.

[0199] Combining the quantum equation q(t)=Q0eiπt+vt, even numbers are the superposition of two sets of particle states |0> (q=Q0eit / π, prime number LC) and even prime numbers.

[0200] The three prime corollary of odd numbers is also known as the weak Goldbach conjecture, which states that any odd number greater than 5 is equal to the sum of three prime numbers. In this case, the odd number is equivalent to the coupling and superposition of three independent closed LC primitives, and the three isolated spherical impedance points linearly synthesize the odd composite impedance. This is also necessarily true under the constraint of the completeness of the spherical Smith impedance space.

[0201] Prime numbers and composite numbers are essentially two inherent topological structures of LC primitives. The topological rules are fixed and the impedance laws can be quantified and solved. Therefore, prime number decomposition is computable. Collatz is a discrete sampling of field-time domain evolution, and Goldbach is a discrete energy combination of LC space configuration. The two originate from the spherical LC resonance system. All number theory laws are discrete mathematical expressions of the LC topology of the universe. Based on the existing LC quantum engine, the LC combination configuration can be controlled by PWM, and even numbers can be decomposed into combinations of double prime numbers in batches through hardware, thus verifying Goldbach's law in batches from the perspective of engineering simulation.

[0202] The mathematical expression of the light quantum equation corresponding to Goldbach's conjecture includes the LC elementary field expression corresponding to a single prime number. A single prime number p is equivalent to a C-completely enclosed L-completely closed boundary, a localized particle state, with no linear drift component vt=0. From the light quantum equation qp(t)=Q0pexp(iπt), the physical meaning is that the prime number represents an independent closed-loop LC zero-point field, with spherical Smith single-point impedance matching, internal lossless resonance, indivisible, and energy completely confined by the capacitive boundary. The composite number N is formed by k independent LC units coupled in parallel, i.e. qN(t)=∑ s=1 k Q0sexp(iπt).

[0203] In the proposition expressed by the Strong Goldbach (even decomposition) equation, even numbers E≥4, E=p1+p2, where p1 and p2 are prime numbers, corresponding to the coupling and superposition of external fields of two independent closed LC primitives, without destroying their respective closed boundaries: qE(t)=qp1(t)+qp2(t)=(Q0p1+Q0p2)exp(iπt). Physically, this explains the geometric completeness of the spherical Smith impedance. The composite impedance point corresponding to even numbers can necessarily be decomposed into two isolated single-point impedances (single prime LC impedances) on the spherical impedance curve. There is no even configuration that cannot be bisected in the continuous impedance space of the spherical surface. The two sets of LCs are only coupled by external electromagnetic fields, and the internal boundaries of C-enclosed L-type closed particles are still maintained. They will not be decomposed into smaller LC primitives, strictly corresponding to "the addition of two prime numbers".

[0204] In the weak Goldbach (odd decomposition) equation, the odd number O ≥ 7, O = p1 + p2 + p3; the superposition of three independent prime LC fields: qO (t) = (Q0p1 + Q0p2 + Q0p3)exp(iπt), the odd number is the result of the superposition of the fields of the three isolated LC elements, and the spherical impedance constraint naturally guarantees the existence of the decomposition.

[0205] The computable implementation of the LC quantum engine is as follows: based on the PWM time calibration t=DT PWM mentioned above, substitute into the prime field formula qp=Q0pexp(iπD T PWM)D=0 (I gate, fully enclosed boundary); the hardware generates single prime array states including two I gate LC units in parallel and three I gate LC units in parallel. The former generates even numbers in the hardware and obtains the sum of two prime numbers, and the latter generates odd numbers and obtains the sum of three prime numbers.

[0206] As can be seen, this LC quantum engine can realize large-scale physical simulation verification of Goldbach's proposition by programmably controlling the PWM duty cycle and directly traversing the prime number decomposition and combination of even numbers in hardware, thus empirically proving the objective validity of the law from the hardware level.

[0207] The core arguments connecting the universe to computability include that number theory is entirely a discrete projection of LC fields; the Collatz iteration is a discrete sampling of the evolution of the quantum field over time (discrete in the time dimension), driven by the boundary switching of the PWM conduction timing t; the Goldbach prime decomposition is the energy superposition of the spatial configuration of the quantum field (discrete in the spatial dimension), determined by the parallel topology of LC units and the constraints of the spherical Smith impedance; from "vacuum zero-point LC primitive → atomic spherical impedance → gravity and nuclear force → two types of classical number theory problems", the entire chain uses the same underlying rules LC=π and q(t)=Q0eit / π+vt; calculations show that the mathematical law of LC resonance belongs to a globally deterministic computable system, and all number theory conjectures are essentially computational results obtained through LC field modeling and LC hardware simulation.

[0208] Figure 7 This is a flowchart illustrating the quantum computing method for computational tasks provided by the present invention, as shown below. Figure 7 As shown, the quantum computing method for the computing task includes, but is not limited to, steps 710 to 730.

[0209] It should be noted that the execution subject of the quantum computing method for computing tasks provided by this invention can be a server, computer device, such as a mobile phone, tablet computer, laptop computer, handheld computer, vehicle electronic device, wearable device, ultra-mobile personal computer (UMPC), netbook, or personal digital assistant (PDA), etc.

[0210] Step 710: Based on the analog signal array acquired by the observation and control module, determine the pulse width modulation signal array of the LC resonator array, and apply the pulse width modulation signal array to the LC resonator array to update the array state of the LC resonator array.

[0211] Step 720: Observe and acquire the analog signal array after the pulse width modulation signal array is applied to the LC resonator array.

[0212] Step 730: Solve the analog signal array based on Euler's formula to obtain the quantum state evolution phase corresponding to each analog signal, visualize the quantum state evolution phase in the complex plane, and output the quantum evolution trajectory of the task to be calculated.

[0213] The LC resonator array includes multiple LC resonator circuits; the spin resonance state of each LC resonator circuit is encoded as a qubit.

[0214] It should be noted that the quantum computing method for computing tasks provided by the present invention can correspond to the quantum computing device for computing tasks described in any of the above embodiments in specific implementation, and this embodiment will not elaborate on this.

[0215] The quantum computing method for computational tasks provided by this invention utilizes a quantum computing device composed of an LC resonator array, a reference signal source, an observation and control module, and a quantum state evolution module. The spin resonance state of each LC resonator circuit is encoded into a qubit. Geometric phase evolution based on Euler's formula is used as the underlying physical principle of quantum computing. The entire workflow can be performed at room temperature, significantly reducing the hardware cost of the quantum computing device and overcoming environmental and cost limitations, thus realizing room-temperature, classical hardware-based quantum computing. The observation and control module acquires analog signals from the LC resonators, and the quantum state evolution module, based on Euler's formula, solves the acquired analog signals into quantum state evolution phases and visualizes them in the complex plane. The quantum evolution trajectory can be intuitively observed and tracked in the complex plane. Utilizing the classical and stable physical phenomenon of LC resonance, precise phase modulation using PWM signals drives quantum state evolution. During the interference evolution process, the problem of traditional qubits relying on complex error correction codes due to decoherence of microscopic particles is avoided. Ultimately, this provides a quantum computing solution for computational tasks that is low-cost, visualizeable in the complex plane, macroscopically replicable, and suitable for large-scale industrialization.

[0216] Figure 8 This is a schematic diagram of the structure of the electronic device provided by the present invention, such as... Figure 8 As shown, the electronic device may include: a processor 810, a communications interface 820, a memory 830, and a communications bus 840, wherein the processor 810, the communications interface 820, and the memory 830 communicate with each other through the communications bus 840. The processor 810 can call logic instructions in the memory 830 to execute the quantum computing method for the computing task provided in any of the above embodiments. The quantum computing method for the computing task includes, but is not limited to, the following steps: determining the pulse width modulation signal array of the LC resonator array based on the analog signal array acquired by the observation control module, and applying the pulse width modulation signal array to the LC resonator array to update the array state of the LC resonator array; observing and acquiring the analog signal array after applying the pulse width modulation signal array to the LC resonator array; solving the analog signal array based on Euler's formula to obtain the quantum state evolution phase corresponding to each analog signal, and visualizing the quantum state evolution phase in the complex plane to output the quantum evolution trajectory of the task to be computed; wherein, the LC resonator array includes multiple LC resonator circuits; the spin resonance state of each LC resonator circuit is encoded as a qubit.

[0217] Furthermore, the logical instructions in the aforementioned memory 830 can be implemented as software functional units and, when sold or used as independent products, can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, in essence, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0218] On the other hand, the present invention also provides a computer program product, which includes a computer program that can be stored on a non-transitory computer-readable storage medium. When the computer program is executed by a processor, the computer can execute the quantum computing method for the computing task provided in any of the above embodiments. The quantum computing method for the computing task includes, but is not limited to, the following steps: determining the pulse width modulation signal array of the LC resonator array based on the analog signal array acquired by the observation control module, and applying the pulse width modulation signal array to the LC resonator array to update the array state of the LC resonator array; observing and acquiring the analog signal array after applying the pulse width modulation signal array to the LC resonator array; solving the analog signal array based on Euler's formula to obtain the quantum state evolution phase corresponding to each analog signal, and visualizing the quantum state evolution phase in the complex plane to output the quantum evolution trajectory of the task to be computed; wherein, the LC resonator array includes multiple LC resonator circuits; the spin resonance state of each LC resonator circuit is encoded as a qubit.

[0219] In another aspect, the present invention also provides a non-transitory computer-readable storage medium storing a computer program thereon. When executed by a processor, the computer program implements a quantum computing method for the computational task provided in any of the above embodiments. The quantum computing method for the computational task includes, but is not limited to, the following steps: determining the pulse width modulation signal array of the LC resonator array based on the analog signal array acquired by the observation control module, and applying the pulse width modulation signal array to the LC resonator array to update the array state of the LC resonator array; observing and acquiring the analog signal array after applying the pulse width modulation signal array to the LC resonator array; solving the analog signal array based on Euler's formula to obtain the quantum state evolution phase corresponding to each analog signal, and visualizing the quantum state evolution phase in the complex plane to output the quantum evolution trajectory of the task to be computed; wherein, the LC resonator array includes multiple LC resonator circuits; the spin resonance state of each LC resonator circuit is encoded as a qubit.

[0220] The device embodiments described above are merely illustrative. The units described as separate components may or may not be physically separate. The components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the modules can be selected to achieve the purpose of this embodiment according to actual needs. Those skilled in the art can understand and implement this without any creative effort.

[0221] Through the above description of the embodiments, those skilled in the art can clearly understand that each embodiment can be implemented by means of software plus necessary general-purpose hardware platforms, and of course, it can also be implemented by hardware. Based on this understanding, the above technical solutions, in essence or the part that contributes to the prior art, can be embodied in the form of a software product. This computer software product can be stored in a computer-readable storage medium, such as ROM / RAM, magnetic disk, optical disk, etc., and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute the methods described in the various embodiments or some parts of the embodiments.

[0222] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A quantum computing device for computing tasks, characterized in that, include: An LC resonator array, comprising multiple LC resonator circuits; The spin resonance state of each of the LC resonator circuits is encoded as a qubit; A reference signal source is used to determine the pulse width modulation signal array of the LC resonator array based on the analog signal array acquired by the observation and control module, and to apply the pulse width modulation signal array to the LC resonator array to update the array state of the LC resonator array. The observation and control module is used to observe and acquire the analog signal array after the pulse width modulation signal array is applied to the LC resonator array; The quantum state evolution module is used to solve the analog signal array based on Euler's formula, obtain the quantum state evolution phase corresponding to each analog signal, visualize the quantum state evolution phase in the complex plane, and output the quantum evolution trajectory of the task to be calculated.

2. The quantum computing device for the computing task according to claim 1, characterized in that, The array states of the LC resonator array include intermediate array states; the step of determining the pulse width modulation signal array of the LC resonator array based on the analog signal array acquired by the observation and control module, and applying the pulse width modulation signal array to the LC resonator array, includes: Using the preset quantum gate flip formula and Euler complex exponent formula, based on the energy level, preset time step and preset number of evolution steps of each analog signal in the analog signal array, calculate the pulse width modulation signal corresponding to each analog signal to obtain the pulse width modulation signal array. The pulse width modulation signal array is sent to the switch driver array of the LC resonator array to simultaneously drive each switch in the switch driver array, and the array state of the LC resonator array is updated by autonomously evolving quantum states through physical resonance interference.

3. The quantum computing device for the computing task according to claim 2, characterized in that, The preset quantum gate flip formula is used to achieve X-gate bit flipping by rotation when the phase is π, Y-gate evolution by rotation when the phase is π / 2, Z-gate phase rotation by offset when the phase is arbitrary, and H-gate Hadamard superposition when the two ground states are coherently superimposed with equal amplitude.

4. The quantum computing device for the computing task according to claim 2, characterized in that, The reference signal source includes multiple parallel computing processing units; the computing processing units are used to determine a pulse width modulation signal in the pulse width modulation signal array based on an analog signal in the analog signal array. The LC resonator circuits of the LC resonator array correspond one-to-one with the computing processing units; each LC resonator circuit includes a switching transistor; and each switching transistor constitutes the switching transistor driving array. The switching transistor drive array that transmits the pulse width modulation signal array to the LC resonator array includes: For each pulse width modulation signal in the pulse width modulation signal array, the pulse width modulation signal is sent to the switching transistor of the target LC resonator circuit; the target LC resonator circuit is the LC resonator circuit corresponding to the calculation and processing unit for determining the pulse width modulation signal.

5. The quantum computing device for the computing task according to claim 1, characterized in that, The process of solving the analog signal array based on Euler's formula to obtain the quantum state evolution phase corresponding to each analog signal includes: Based on the energy level of each analog signal in the analog signal array, the angular frequency and phase of each analog signal are determined; For each simulated signal, based on the preset quantum four-state mapping rule, Euler complex exponent formula, angular frequency and phase of the simulated signal, the simulated signal is mapped to the target quantum state evolution phase to obtain the quantum state evolution phase corresponding to each simulated signal; The Euler complex exponent formula is determined based on the Euler formula, the energy quantum states of the capacitor electric field, and the energy quantum states of the inductor magnetic field.

6. The quantum computing device for the computing task according to claim 5, characterized in that, The quantum state evolution phase is any one of the following: positive electric field ground state, positive magnetic field ground state, negative electric field ground state, and negative magnetic field ground state.

7. The quantum computing device for the computing task according to claim 1, characterized in that, The array state of the LC resonator array includes an initial array state; the initial array state is driven by the following method: The reference signal source determines the initial pulse width modulation signal array of the LC resonator array according to the task to be calculated, and applies the initial pulse width modulation signal array to the LC resonator array so that the LC resonator array enters the initial array state.

8. The quantum computing device for the computing task according to claim 1, characterized in that, Each of the LC resonator circuits described includes a capacitor, an inductor, a monitoring resistor, a switching transistor, and a power supply; The first end of the inductor is connected to the negative terminal of the power supply and the first end of the capacitor, and the second end of the inductor is connected to the switching transistor. The first terminal of the capacitor is connected to the first terminal of the inductor and the negative terminal of the power supply; the second terminal of the capacitor is connected to the first terminal of the observation resistor. The second end of the observation resistor is connected to the switching transistor; The switching transistor is connected to the second terminal of the inductor, the second terminal of the observation resistor, and the positive terminal of the power supply, respectively. The on / off state of the switch is used to determine the oscillation mode of the LC resonator circuit.

9. The quantum computing device for the computing task according to claim 8, characterized in that, The observation control module is connected to the observation resistor of each of the LC resonator circuits; The observation and acquisition of the analog signal array after the pulse width modulation signal array is applied to the LC resonator array includes: Based on the voltage drop signal of each of the observed resistors, the oscillation phase and amplitude of each of the LC resonator circuits after the pulse width modulation signal array is applied are determined, so as to acquire the analog signal array.

10. The quantum computing device for the computing task according to claim 8, characterized in that, The capacitor is a cross-shaped distributed capacitor; And / or, the inductor is a saturable nonlinear inductor, and the inductor core is wrapped with a DC flux bias coil; And / or, the resistor is a damping loss unit; And / or, the observation control module is an ADC signal sampling unit; And / or, the quantum state evolution module includes a digital signal processing chip and a DAC visualization output unit.

11. The quantum computing device for the computing task according to claim 8, characterized in that, The two LC resonator circuits in the LC resonator array form a dual-unit reverse flux conjugate entangled structure. N arrays are arranged such that the entanglement between adjacent elements consists of a conjugate inductor and a soft-switching capacitor, forming an entanglement chain to achieve 2... N The parallel computing quantum computing power was used to model and reconstruct the physical characterization of Hilbert space and Josephson junction under low-temperature superconducting conditions using classical circuits. The tunneling energy difference of the Josephson junction comes from the electromagnetic waves oscillating between the capacitor plates, which serves as a basis for comparison and calibration for reading and measurement.

12. The quantum computing device for the computing task according to claim 8, characterized in that, The two LC resonator circuits in the LC resonator array achieve resonant oscillation of capacitor and inductor based on soft-switching zero-current switching, and the two pairs are conjugate matched. The measurement of the inductor energy storage difference is a calibration and compensation standard.

13. The quantum computing device for the computing task according to claim 8, characterized in that, The closed-loop network formed by the LC resonator array satisfies the Smith spherical impedance matching of the electron cloud; when the transmission line is arranged in a spherical layout, the impedance matching of LC is achieved and the low-temperature superconductivity satisfies the impedance matching of the physical prototype.

14. The quantum computing device for the computing task according to claim 1, characterized in that, The reference signal source is either driven by a GPU in parallel, or driven by an FPGA in serial mode, or driven by a combination of GPU and FPGA.

15. A quantum computing method for a computational task, characterized in that, include: Based on the analog signal array acquired by the observation and control module, the pulse width modulation signal array of the LC resonator array is determined, and the pulse width modulation signal array is applied to the LC resonator array to update the array state of the LC resonator array. The analog signal array is observed and acquired after the pulse width modulation signal array is applied to the LC resonator array; The simulation signal array is solved based on Euler's formula to obtain the quantum state evolution phase corresponding to each simulation signal, and the quantum state evolution phase is visualized in the complex plane to output the quantum evolution trajectory of the task to be calculated. The LC resonator array includes multiple LC resonator circuits; the spin resonance state of each LC resonator circuit is encoded as a qubit.

16. An electronic device comprising a memory, a processor, and a computer program stored in the memory and running on the processor, characterized in that, When the processor executes the computer program, it implements the quantum computing method for the computing task as described in claim 15.

17. A non-transitory computer-readable storage medium having a computer program stored thereon, characterized in that, When the computer program is executed by a processor, it implements the quantum computing method for the computing task as described in claim 15.

18. A computer program product, comprising a computer program, characterized in that, When the computer program is executed by a processor, it implements the quantum computing method for the computing task as described in claim 15.

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