Quantum entanglement communication system and method based on multiple repetition number groups

Abstract

The invention discloses a quantum entanglement communication system and a quantum entanglement communication method based on a multi-repetition number group, which are characterized in that a quantum entanglement state is deeply fused with existing optical fibers, satellites and 5G / 6G communication infrastructures by utilizing high-dimensional coding, non-easy anti-interference and norm monitoring characteristics of the multi-repetition number group; the problems that in traditional quantum communication, high-dimensional state preparation is difficult, environmental interference robustness is insufficient, and long-distance transmission loss is large are solved, and high-safety, large-capacity and anti-interference quantum entanglement communication is achieved.

Description

Technical Field

[0001] This invention relates to the field of quantum communication technology, specifically to a quantum entanglement communication system and method that combines the algebraic properties of multi-repetition groups, applicable to quantum security enhancement and high-capacity transmission scenarios of existing communication infrastructures such as optical fibers, satellites, and 5G / 6G. Background Technology

[0002] With the rapid development of information technology, traditional communication methods (such as fiber optics, satellite, 5G / 6G) have made significant progress in bandwidth and latency. However, their security relies on classical encryption algorithms (such as RSA and AES), which are vulnerable to being cracked by quantum computers (Shor's algorithm). Quantum communication technologies (such as quantum key distribution QKD and quantum teleportation) offer a new path to solving these problems through the non-cloning and entanglement nonlocality of quantum states, but still face the following bottlenecks:

[0003] 1. Difficulty in preparing and transmitting high-dimensional states: Existing quantum communication is mostly based on two-dimensional polarization states (qubit), and the information capacity of a single photon is limited (only 1 bit), which makes it difficult to meet the high bandwidth requirements;

[0004] 2. Insufficient robustness to environmental interference: Photon scattering and absorption in optical fibers and atmospheric turbulence in satellite channels can lead to quantum state decoherence, and entangled pairs are susceptible to non-commutative noise (such as phase shift and polarization rotation order perturbations).

[0005] 3. High transmission loss over long distances: The survival probability of photons in optical fibers decreases exponentially with distance (about 1% after 100 kilometers), and entangled states are difficult to maintain in complex environments such as the deep sea / space.

[0006] 4. Poor compatibility with existing communication systems: Quantum communication devices (such as high-dimensional detectors) are incompatible with traditional communication hardware (such as optical fibers and radio frequency modules), resulting in high upgrade costs.

[0007] Multi-repetition groups (such as quaternions and octernions), as mathematical extensions of quantum mechanics, offer key technological support for overcoming the aforementioned bottlenecks due to their high dimensionality (corresponding to multi-degree-of-freedom information encoding), noncommutativity (adapting to non-commutative noise), and norm invariance (monitoring entanglement integrity). This invention proposes a highly compatible, secure, and high-capacity quantum entanglement communication system and method by combining the algebraic properties of multi-repetition groups with existing communication infrastructure. Summary of the Invention

[0008] Purpose of the invention

[0009] The purpose of this invention is to provide a quantum entangled communication system and method based on multiple repeating groups, which solves the problems of difficulty in preparing high-dimensional states, insufficient robustness to environmental interference, large transmission loss over long distances, and poor compatibility with existing communication systems in existing quantum communication, and realizes highly secure, high-capacity, and interference-resistant quantum entangled communication.

[0010] Technical solution

[0011] The core idea of ​​this invention is to leverage the high-dimensional encoding, non-commutative anti-interference, and norm monitoring characteristics of multi-repetition groups to deeply integrate quantum entangled states with existing communication infrastructure (fiber optics, satellites, 5G / 6G). Through hardware modifications, protocol upgrades, and algorithm optimization, the practicality of quantum entangled communication is improved.

[0012] System Architecture

[0013] The quantum entanglement communication system of the present invention includes:

[0014] 1. Hardware layer: Quantum entangled state transmitting / receiving devices compatible with existing communication media (fiber optics, satellite payloads, radio frequency modules), including multi-channel waveplates (for multi-degree-of-freedom modulation), high-dimensional detectors (for multi-repetition state detection), and low-noise quantum light sources (such as blue-green light SPDC modules);

[0015] 2. Protocol Layer: Quantum-classical hybrid communication protocol, supporting high-dimensional key distribution with multiple repetitions, interference-resistant teleportation, and quantum identity authentication;

[0016] 3. Application Layer: Quantum security service modules for scenarios such as finance, government affairs, and the Internet of Things, providing key management, data encryption, and identity authentication functions.

[0017] Key technologies

[0018] 1. High-dimensional encoding techniques for multiple repetitions: utilizing multiple repetition groups (such as quaternions) The four-dimensional space of the photon jointly encodes the multiple degrees of freedom (polarization, path, and time phase) of the photon into multiple repeating quant substates, increasing the information capacity of a single photon. For example, the quaternary quant substate |Ψ>=a|H>+b|V>+c|F>+d|B> is defined as follows: (H / V is the polarization state, F / B is the path state, ...) Multi-degree-of-freedom joint modulation is achieved through multi-channel waveplates.

[0019] 2. Non-commutative anti-interference coding technology: To address non-commutative noise in environments such as deep sea and atmosphere (e.g., sequential perturbations of phase shift φ and polarization rotation θ), a multi-repetition operator correlation function (e.g., ...) is designed. <ab> - (where A and B are multiple repetition operators), by monitoring the degree to which the associated value deviates from the theoretical value in real time, the coding primitive is dynamically adjusted (such as switching from i+j+k to i-j+k) to counteract the influence of noise.

[0020] 3. Multi-repetition norm monitoring and error correction technology: Utilizing the norm invariance of multi-repetition groups (e.g., quaternion |ab|=|a||b|), the norm of the entangled state reduced density matrix is ​​calculated (e.g., trace norm ||ρ1||1), and the integrity of entanglement is monitored. If the norm deviates from the initial value (pure entangled state ||ρ1||1=1), a quantum error-correcting code (e.g., surface code) is triggered to correct phase or polarization errors.

[0021] Implementation Methods

[0022] The quantum entanglement communication method of the present invention includes the following steps:

[0023] 1. Preparation of quantum entangled states: A blue-green laser (wavelength 450–550 nm, the minimum absorption window in seawater) is used as the pump source to generate entangled photon pairs through spontaneous parametric downconversion (SPDC). And modulated into quaternary quantum states (e.g.) via a multi-channel waveplate. ).

[0024] 2. Quantum state transport:

[0025] • Fiber optic channel: It uses wavelength division multiplexing (WDM) technology to distribute quantum signals (1550nm) and classical signals (1310nm / 1510nm) to different wavelength windows, and uses low-noise fiber amplifiers (such as Raman amplifiers) to suppress crosstalk of classical signals.

[0026] • Satellite Channel: The satellite and ground station transmit entangled photon pairs through a satellite-to-ground entanglement distribution link (such as the 1200-kilometer experimental link of the "Micius" satellite), and phase noise is canceled through an adaptive modulation strategy (such as adjusting the combination of multiple repetition primitives according to the intensity of atmospheric turbulence).

[0027] 3. Quantum State Detection and Error Correction: The receiver employs a multi-channel metasurface detector (integrating polarization, path, and phase detection functions) to measure multiple repetition operators. and The correlation function is used to calculate the norm of multiple repetitions (e.g., If the norm is abnormal (exceeding the threshold ∈), the quantum error correction code is triggered to correct the error; if it is determined to be eavesdropping (the norm deviates severely), the backup channel is switched and the key is redistributed.

[0028] 4. Quantum-classical hybrid communication:

[0029] • Key distribution: Entangled photon pairs are used to generate high-dimensional keys with multiple repetitions (such as quaternion 512-bit keys), which are then negotiated through a classical channel and used for AES encryption;

[0030] • Data transmission: Classical data is bound to quantum entangled states (e.g., data is mapped to entangled state degrees of freedom through multi-repetition encoding), and the receiving end verifies data integrity through norm (hash value is bound to entangled state association value);

[0031] • Identity authentication: Base stations and user terminals use multiple repeating identifiers (such as unique quaternion codes) for quantum identity authentication to prevent man-in-the-middle attacks.

[0032] Beneficial effects

[0033] Compared with the prior art, the beneficial effects of the present invention include:

[0034] 1. High-capacity transmission: By utilizing high-dimensional coding of multiple repetition groups, the single-photon information capacity is increased from 1 bit (two-dimensional polarization state) to multiple bits (such as quaternion four-dimensional state), significantly improving the bandwidth utilization of optical fiber, satellite and other channels;

[0035] 2. Strong anti-interference capability: Through multi-repetition non-commutative coding technology, it effectively suppresses non-commutative noise such as fiber scattering and atmospheric turbulence, and improves the fidelity of entangled state to over 85% (experimental verification);

[0036] 3. Long-distance transmission: Combining quantum repeaters with multi-repetition topological coding extends the effective range of entangled states (e.g., extending fiber optic transmission distance from 100 km to 500 km);

[0037] 4. Compatible with existing systems: Through hardware modifications (such as multi-channel waveplates and high-dimensional detectors) and protocol upgrades (quantum-classical hybrid protocol), it can seamlessly connect to existing fiber optic, satellite, and 5G / 6G networks, reducing upgrade costs;

[0038] 5. High security: Based on the non-cloning property of quantum states and the monitoring of multiple repeatability norms, unconditional secure key distribution and quantum identity authentication are achieved, resisting threats such as man-in-the-middle attacks and eavesdropping. Attached Figure Description

[0039] Figure 1 This is an overall architecture diagram of the quantum entanglement communication system described in this invention;

[0040] Figure 2 A schematic diagram of the principle of a high-dimensional encoding module for multiple repetitions (taking quaternion states as an example);

[0041] Figure 3 Flowchart for calculating the correlation function of the non-paired, interference-resistant coding;

[0042] Figure 4 A diagram of a wavelength division multiplexing (WDM) scheme for quantum state transmission in an optical fiber channel;

[0043] Figure 5 This is a schematic diagram of a satellite-to-ground quantum teleportation link. Detailed Implementation

[0044] The specific embodiments of the present invention will be described in detail below with reference to the accompanying drawings.

[0045] Example 1: Fiber-optic quantum key distribution system

[0046] This embodiment uses high-dimensional coding techniques based on multiple repetition groups to achieve fiber quantum key distribution (QKD). The specific steps are as follows:

[0047] 1. Hardware preparation:

[0048] • Emitter: Blue-green laser (wavelength 450nm), BBO crystal (SPDC module), multi-channel waveplate (half-wave plate, quarter-wave plate, used to modulate quaternion degrees of freedom), single-photon detector (multi-channel metasurface array, supporting polarization and path detection);

[0049] • Receiver end: Optical isolator, attenuator, multi-channel metasurface detector, time-correlated single-photon counting (TCSPC) module;

[0050] • Fiber optic link: G.652 single-mode fiber (100 km), transmitted via WDM module and classic communication link (1310 nm) on the same fiber.

[0051] 2. Quantum state preparation and transport:

[0052] Pump light (450nm) is incident on the BBO crystal, generating entangled photon pairs |Ψ + >;

[0053] Multichannel waveplates modulate entangled states into quaternary quantum states. (F / B represents the path state);

[0054] Entangled photon pairs are transmitted via optical fiber, and classical channels synchronously transmit multiple repetitions of primitive combinations (such as i+j+k) as modulation keys.

[0055] 3. Key generation and error correction:

[0056] • The receiver measures multiple repetition operators using a multi-channel metasurface detector. and The associated value <ab>;

[0057] · Calculate the norm of multiple repetitions (U represents the environmental noise transformation). If the norm is less than the threshold (∈=0.1), retain the correlation value and generate a quantum key.

[0058] • Phase errors are corrected using quantum error-correcting codes (such as surface codes), ultimately generating a 128-bit multi-repetition key (512-bit classical equivalent entropy).

[0059] Example 2: Satellite Quantum Teleportation System

[0060] This embodiment utilizes the non-commutative anti-interference technique of multiple repetition groups to achieve satellite-to-ground quantum teleportation. The specific steps are as follows:

[0061] 1. Entangled Distribution:

[0062] The "Micius" satellite prepares entangled photon pairs through the SPDC module. Photon 1 is transmitted to ground station A via downlink (1550nm), and photon 2 is transmitted to ground station B via uplink.

[0063] Ground stations A and B share the correlation primitives of entangled pairs (such as i-j+k) through classical channels.

[0064] 2. Preparation of the state to be transported:

[0065] Ground station A will transmit the quantum state ρ to be transmitted. data Encoded as a number of repeating substates

[0066] 3. The stealth transfer process:

[0067] Ground station A to |Ψ data > Joint measurement with entangled photon 1 yields multiple-repetition measurement result m;

[0068] The measurement result m is transmitted to ground station B via a classical channel;

[0069] Ground station B performs multiple repetition operator transformations on entangled photon 2 based on m and the pre-shared primitives i-j+k (e.g., ...). ), restore the original state |Ψ data >

[0070] 4. Integrity verification:

[0071] Ground station B measures the norm of the reduced density matrix of the recovered state, ||ρrecovery||1, using a multi-repeat detector. If ||ρrecovery||1 > 0.9 (threshold), the transmission is confirmed to be successful; otherwise, a retransmission is triggered.< / ab> < / ab>

Claims

1. A quantum entangled communication system based on multi-repetition group, characterized in that, include: ●Hardware layer: Multi-channel waveplates compatible with existing communication media, high-dimensional detectors, and low-noise quantum light sources; ●Protocol Layer: Supports quantum-classical hybrid protocols for high-dimensional key distribution with multiple repetitions, interference-resistant teleportation, and quantum identity authentication; ●Application Layer: Quantum security service modules for finance, government affairs, and the Internet of Things.

2. The system according to claim 1, characterized in that, The hardware layer uses a multi-channel waveplate to jointly modulate the polarization, path, and time phase of photons, encoding quantum states into multiple repeating quantum states such as quaternions or octernions.

3. The system according to claim 1, characterized in that, The protocol layer monitors environmental noise through a multi-repetition operator association function and dynamically adjusts the coding primitives to counteract non-commutative interference.

4. The system according to claim 1, characterized in that, The application layer uses the multi-repetition norm invariance to verify the integrity of entangled states and combines quantum error-correcting codes to extend the effective range of entangled states.

5. A quantum entangled communication method based on multi-repetition group, characterized in that, Includes the following steps: ●Step 1: Modulate entangled photon pairs into multi-repetitive quantum states using a multi-channel waveplate; ●Step 2: Transmit quantum states and classical signals in existing fiber optic / satellite links using wavelength division multiplexing (WDM) technology; ●Step 3: The receiver measures the correlation function using a multi-repetition detector and calculates the norm to monitor entanglement integrity; ●Step 4: Use quantum error correction codes to correct errors, generate multiple-repeat keys, or recover transmitted data.

6. The method according to claim 5, characterized in that, In step 2, WDM technology is used to distribute the quantum signal (1550nm) and the classical signal (1310nm / 1510nm) to different wavelength windows to suppress crosstalk.

7. The method according to claim 5, characterized in that, In step 3, the multiple repetition norm is used. Determine if the entangled state is being eavesdropped on; if the norm exceeds the threshold, trigger a retransmission.

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