A topological protection fidelity verification system for macroscopic quantum state transmission and a verification method thereof

Abstract

The application discloses a topological protection fidelity verification system and method for macroscopic quantum state transmission. The system comprises a projection angle measurement module (real-time measurement of the projection angle of the sending end and the receiving end), a fiber phase difference measurement module (measurement), a topological protection bandwidth calibration module (calibration), a particle number input module (input of the total particle number), a fidelity calculation module (real-time calculation of the fidelity according to the formula), a fidelity threshold judgment module, a Berry curvature measurement module (independent verification) and a verification result output module. When the system automatically decomposes the fidelity into and diagnoses the loss source; when and, the verification is determined to be passed. The application realizes real-time lossless verification of the fidelity of macroscopic quantum state transmission and is suitable for all range application scenarios from a single particle to a mole level substance.

Description

Technical Field

[0001] This invention relates to the fields of quantum information transmission technology and quantum measurement technology, specifically to a topology-protected fidelity verification system and method for macroscopic quantum state transmission. This invention can be applied to fields such as experimental verification of macroscopic quantum state transmission, quality assessment of inter-planetary communication, performance testing of quantum network nodes, and fidelity calibration of quantum teleportation. It is particularly suitable for applications requiring real-time, non-destructive, and high-precision verification of the fidelity of macroscopic objects containing a large number of particles during topology-protected quantum state transmission. Background Technology

[0002] Macroscopic quantum state transmission technology synchronously drives the topological materials of the transmitter and receiver to a critical state. This technology enables instantaneous transmission of quantum states of macroscopic objects. Its core advantage lies in its topological Chern number. The provided topology protection mechanism makes the transmission process naturally immune to environmental noise and material defects. However, the engineering of macroscopic quantum state transmission faces a fundamental problem: how to accurately verify the fidelity of the quantum state after transmission? (i) Existing quantum state tomography methods are not applicable to macroscopic objects. Traditional quantum state tomography reconstructs the density matrix by repeatedly measuring a large number of identically prepared quantum states. This method is only applicable to microscopic systems such as single photons and single atoms. For systems containing... For macroscopic objects consisting of a single particle, it is impossible to prepare a large number of identical initial states for repeated measurements, and the number of measurements increases exponentially with the system dimension, making it impractical in engineering. (ii) Lack of real-time non-destructive verification methods Existing quantum transmission verification methods require destructive measurements at the receiving end (such as absorbing photons or detecting particles), which can cause the transmitted macroscopic quantum state to collapse or decoherent, making real-time, lossless, and fidelity verification impossible. In applications such as interplanetary communication, the transmitted quantum state needs to be used or forwarded, making destructive measurements unacceptable. (iii) Intrinsic geometric invariants not utilizing topological protection The fidelity of macroscopic quantum state transmission is directly related to geometric quantities such as the topological Chern number, projection angle, and fiber phase. Existing verification schemes rely entirely on external measurement equipment and fail to utilize the geometric invariants provided by topological protection itself as verification criteria, thus missing the possibility of achieving efficient verification. (iv) Lack of real-time fidelity feedback based on projection weights Fidelity formula for macroscopic quantum state transmission It has been established, but lacks a real-time verification system based on the formula, making it impossible to dynamically monitor fidelity changes and identify transmission anomalies in a timely manner during transmission. To address the above problems, this invention provides a topology-protected fidelity verification system and method for macroscopic quantum state transmission. Summary of the Invention

[0003] (II) Technical Solution This invention provides a topology-protected fidelity verification system for macroscopic quantum state transmission, characterized in that it comprises: A projection angle measurement module is installed at both the transmitting and receiving ends to measure the projection angle at the transmitting end in real time. and the projection angle of the receiving end ; A fiber phase difference measurement module is used to measure the fiber phase difference between the transmitting and receiving ends. ; A topology protection bandwidth calibration module is used to calibrate the topology protection bandwidth of the system. ; A particle count input module is used to input or measure the total number of particles in the transmitted macroscopic object. ; A fidelity calculation module is connected to the projection angle measurement module, fiber phase difference measurement module, topology protection bandwidth calibration module and particle number input module, and calculates the transmission fidelity in real time according to the fidelity formula; A fidelity threshold determination module, connected to the fidelity calculation module, is used to compare the calculated fidelity with a preset threshold. Compare the results and output the verification results. A Berry curvature measurement module, located at the receiving end, is used to independently verify the fidelity calculation results by measuring the local Berry curvature distribution. A verification result output module is used to output the fidelity value and verification conclusion. The mathematical principle of fidelity verification: Basic fidelity formula: The fidelity of macroscopic quantum state transmission is determined by the following formula: in: - The total number of particles in the transmitted macroscopic object; : Projection angle mistuning between the transmitting and receiving ends; Topology protection bandwidth, formed by projection gaps Decide; - : Phase difference between the transmitting and receiving fibers; Macroscopic phase coupling index. Real-time projection angle measurement principle: Transmitter projection angle and the projection angle of the receiving end The following relationship is obtained from the projected weight measurement: in and These are the radial and axial projection weight components, respectively, which are inferred by measuring the surface state dispersion relation or Berry curvature distribution of the topological material element. Topology protection bandwidth calibration: Topology protection bandwidth Determined by the minimum action quantization condition: in For the band width of the material, For Fermi velocity, The thickness is the shadow balance thickness. This bandwidth is calibrated using material parameters after system fabrication and used as a system constant input to verify the system. Macroscopic phase coupling index: Macroscopic phase coupling index Determined by the geometry of the object being transmitted, for a volume of Surface area is Macroscopic objects: in The effective area for a single particle. Independent verification of Berry curvature: Berry curvature at the receiver Distribution and local topological Chern number The relationship is: Local topology Chern number measured by the system at the receiving end Compared with the reference value of the sending end Compare: when ( When the preset tolerance is used, verify the reliability of the fidelity calculation results. Fidelity verification criteria: The system determines whether macroscopic quantum state transfer is successful based on the following criteria: in: - : Preset fidelity threshold (typical value) ); - Preset tolerance for Chern number deviation (typical value) ). Fidelity decomposition and anomaly diagnosis: when At that time, the system automatically decomposes the sources of fidelity loss: (1) Contribution of projection angle mistuning: (2) Fiber phase mismatch contribution: (3) Total fidelity: By comparison and The deviation from their respective thresholds is used to diagnose the main sources of fidelity loss and provide corresponding parameter adjustment suggestions (such as increasing synchronization accuracy or optimizing phase locking). Multi-particle number mode adaptation: The system supports verification modes on the following particle orders: (1) Single-event mode ( ): Verifying microscopic quantum state transmission, fidelity to Insensitive; (2) Mesoscopic model ( ): Verifying mesoscopic object transmission, fidelity to Moderate sensitivity; (3) Macro model ( ): Verifying macroscopic object transmission, fidelity to Highly sensitive, requires ; (4) Moore's model ( Verifying molar-level mass transport requires extremely precise projection angle control and topology protection bandwidth. Verification result recording and traceability: The system includes a verification data storage module, which records the following data for each transmission verification: Timestamp; Projection angles of the transmitting and receiving ends ; Fiber phase difference ; Calculate fidelity ; Independent validation results of Berry curvature measurement ; Verification result (pass / fail); Diagnostic analysis report when failure occurs. All data is stored in an encrypted format, supporting subsequent auditing and traceability. (III) Beneficial Effects Applicable to macroscopic objects: The verification method based on the fidelity formula does not rely on repeated measurements; fidelity calculation can be completed in a single transmission, making it suitable for... Macroscopic objects; Real-time non-destructive verification: Fidelity verification is achieved by measuring the projected weights and Berry curvature without destroying the transmitted quantum state, which can continue to be used after transmission; Utilizing topological intrinsic invariants: Directly using the geometric invariants (projection angle, Berry curvature, topological Chern number) provided by topology protection as the verification basis, without the need for external reference states; Fidelity decomposition diagnosis: Decomposing fidelity into projection angle contribution and fiber phase contribution can accurately pinpoint the source of the problem when transmission fails and guide parameter optimization; Multi-mode adaptation: Supports full-range verification from single particles to molar-level matter, covering different application scenarios from microscopic to macroscopic. Traceable records: Verification data is stored in an encrypted manner, supporting auditing and subsequent analysis, and meeting engineering quality management requirements. Attached Figure Description

[0004] Figure 1 The overall structural block diagram of the macroscopic quantum state transmission topology protection fidelity verification system provided in the embodiments of the present invention is shown. Figure 2 A flowchart for fidelity verification provided in an embodiment of the present invention. Figure 3 This is a schematic diagram illustrating the principle of fidelity decomposition and anomaly diagnosis provided in an embodiment of the present invention. Figure 4 This is a schematic diagram of multi-particle number mode adaptation provided in an embodiment of the present invention. Detailed Implementation

[0005] Example 1: Macroscopic Quantum State Fidelity Verification System Based on Projection Angle Measurement Step 1: Deploy the verification system Projection angle measurement modules are deployed at both the transmitting and receiving ends of the macroscopic quantum state transmission device. A terahertz time-domain spectroscopy measurement device is integrated on the surface of the topological material at the transmitting end to measure the surface state dispersion relation and calculate the projection angle. The same device is integrated on the surface of the topological material at the receiving end for measuring the projection angle. . Step 2: Calibrate the topology protection bandwidth During the system initialization phase, the band width of the topological material is measured. Fermi speed Balance the thickness of the shadow Calculate the topology protection bandwidth: Will It is stored as a system constant in the fidelity calculation module. Step 3: Input the parameters of the object to be transmitted The total number of particles of the object input or transmitted via the particle count input module. The system automatically calculates the macroscopic phase coupling index. . Step 4: Perform transmission and real-time measurement During the macroscopic quantum state transmission process, the projection angle measurement module uses Real-time recording of sampling rate and The fiber phase difference measurement module records synchronously. . Step 5: Real-time fidelity calculation The fidelity calculation module calculates the instantaneous fidelity at each sampling time: The system at the time of transmission completion Output final fidelity . Step 6: Threshold Determination and Result Output The fidelity threshold judgment module will With preset threshold Comparison. If Output "Verification passed" and the fidelity value; if Output "Verification failed" and the fidelity value. The beneficial effect of this embodiment is that it realizes real-time verification of the fidelity of macroscopic quantum states based on projection angle measurement without destroying the transmitted quantum state. Example 2: Enhanced Fidelity Verification System Based on Independent Berry Curvature Verification Steps 1-4: Same as steps 1-4 in Example 1 Step 5: Independent measurement of Berry curvature At the receiving end, the Berry curvature measurement module measures the local Berry curvature distribution. Calculate the local topology Chern number at the receiver. : The system will Compared with the reference value of the sending end (Pre-transmission calibration) Compare and calculate the deviation. . Step 6: Dual Criterion Verification The system determines whether the transmission was successful based on two criteria: If both conditions are met, output "Verification passed (topology protection confirmed)"; if... but The output reads, "Fidelity is acceptable, but the topology is abnormal; it is recommended to check the receiver materials." but The output reads, "The topology is normal, but the fidelity is insufficient. It is recommended to optimize the synchronization accuracy." The beneficial effect of this embodiment is that by independently verifying the Berry curvature, systematic errors in the fidelity calculation are eliminated, thereby improving the reliability of the verification. Example 3: Fidelity Decomposition and Anomaly Diagnosis Step 1: Perform transmission and measurement Same as steps 1-4 in Example 1. Step 2: Fidelity Decomposition when At that time, the fidelity calculation module automatically decomposes the fidelity: Step 3: Diagnostic Analysis The system will and Compare with their respective thresholds: like ( The diagnosis conclusion was "excessive projection angle mistuning, and it is recommended to increase the synchronization control accuracy or extend the adiabatic switching time." like ( The diagnosis conclusion was "excessive fiber phase mismatch, and it is recommended to optimize the phase-locked loop or adjust the optical path delay." If both are insufficient, the diagnosis is "compound mistuning, and it is recommended to optimize both synchronization control and phase locking simultaneously". Step 4: Output the diagnostic report The system outputs a complete verification report that includes fidelity breakdown values ​​and diagnostic recommendations. The beneficial effect of this embodiment is that it accurately locates the source of fidelity loss and provides clear guidance for system parameter optimization. Example 4: Adaptive Verification of Multi-Particle Number Mode Step 1: Detect the particle order The system automatically detects the total number of particles in the transmitted object via a particle count input module or allows the user to input the total number of particles. Automatically determine the verification mode: Step 2: Adaptive parameter configuration Automatically configure verification parameters based on particle number mode: Step 3: Perform verification The system uses the parameters of the corresponding mode to perform fidelity calculation and threshold judgment. The advantage of this embodiment is that a single verification system covers the complete particle number range from microscopic to macroscopic, eliminating the need to design different verification schemes for different magnitudes. Terminology Explanation

[0006] Terminology Meaning Fidelity (F) is the degree of overlap between the quantum state after transmission and the quantum state before transmission, 0 ≤ F ≤ 1. The projection angle (θ) is a geometric parameter describing the projection direction in fiber bundle projection mapping, where θ = arctan(β_s / β_r). Topology protection bandwidth (σ_θ) is the parametric width between nontrivial and trivial phases in the topology phase diagram, determined by ΔS = h / 2. Fiber phase difference (Δϕ): The phase difference between the fiber cross-sections at the transmitting and receiving ends. Berry curvature (Ω(k)) is the curl of the Berry connection in momentum space, and its integral gives the topological Chern number. Local topological Chern number (C_"local"): The topological Chern number of a specific spatial region, calculated using the Berry curvature integral. The macroscopic phase coupling index (p) is an index that describes the degree of phase synchronization of all particles in a macroscopic object, p = N^(2 / 3).

Claims

1. A topology-protected fidelity verification system for macroscopic quantum state transmission, characterized in that, include: A projection angle measurement module is installed at both the transmitting and receiving ends to measure the projection angle at the transmitting end in real time. and the projection angle of the receiving end ; A fiber phase difference measurement module is used to measure the fiber phase difference between the transmitting and receiving ends. ; A topology protection bandwidth calibration module is used to calibrate the topology protection bandwidth of the system. ; A particle count input module is used to input or measure the total number of particles in the transmitted macroscopic object. ; A fidelity calculation module is connected to the projection angle measurement module, fiber phase difference measurement module, topology protection bandwidth calibration module, and particle number input module, and calculates the fidelity based on the formula. Real-time calculation of transmission fidelity, among which , ; A fidelity threshold determination module, connected to the fidelity calculation module, is used to compare the calculated fidelity with a preset threshold. Compare the results and output the verification results. A Berry curvature measurement module, located at the receiving end, is used to independently verify the fidelity calculation results by measuring the local Berry curvature distribution. A verification result output module is used to output the fidelity value and verification conclusion.

2. The system according to claim 1, characterized in that: The projection angle Through relationships Obtained from the projection weight measurement, where and satisfy .

3. The system according to claim 1, characterized in that: The topology protection bandwidth From the formula Confirmed, among which For the band width of the material, For Fermi velocity, To balance the thickness of the shadow.

4. The system according to claim 1, characterized in that: The Berry curvature measurement module uses the formula... Calculate the local topology Chern number at the receiver and compare it with the reference value at the transmitter. Comparison, when deviation The fidelity calculation must be verified to be reliable.

5. The system according to claim 1, characterized in that: The verification criteria for the fidelity threshold judgment module are as follows: ,in To preset the fidelity threshold, This is the preset tolerance for Chern number deviation.

6. The system according to claim 1, characterized in that: The fidelity calculation module is in Automatic decomposition fidelity: , , And through comparison and Deviation from their respective thresholds is used to diagnose the sources of fidelity loss.

7. The system according to claim 1, characterized in that: The system supports multiple particle count modes, including single-particle mode. Mesoscopic model Macro model and Moore's model Each mode automatically configures the corresponding fidelity calculation parameters.

8. The system according to claim 1, characterized in that: It also includes a verification data storage module, which records the timestamp, projection angle, fiber phase difference, calculated fidelity, Berry curvature independent verification results and verification conclusions for each transmission verification. The data is stored in an encrypted format.

9. A method for verifying the topology-protected fidelity of macroscopic quantum state transmission, characterized in that, Includes the following steps: (1) The projection angle of the transmitting end is measured in real time by the projection angle measurement module. and the projection angle of the receiving end ; (2) Measure the fiber phase difference between the transmitting end and the receiving end using the fiber phase difference measurement module. ; (3) Calibrate the system's topology protection bandwidth using the topology protection bandwidth calibration module. ; (4) Input or measure the total number of particles of the transmitted macroscopic object through the particle number input module. ; (5) Calculate the fidelity using the formula. Real-time calculation of transmission fidelity, among which , ; (6) The calculated fidelity is compared with the preset threshold by the fidelity threshold judgment module. If a comparison is made, The transmission was initially determined to be successful. (7) Measure the local Berry curvature distribution at the receiving end using the Berry curvature measurement module, and calculate the local topological Chern number at the receiving end. , and the reference value of the sending end In comparison, when In time, confirm that the fidelity calculation is reliable; (8) Output the fidelity value and verification conclusion through the verification result output module.

10. The method according to claim 9, characterized in that: In step (5) when At that time, the system automatically decomposes the fidelity: , , It also outputs a diagnostic analysis report to determine whether the fidelity loss is due to projection angle mismatch or fiber phase mismatch.

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