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China Communications

Development of hybrid ARQ protocol for the quantum communication system on stabilizer codes

Jiaxin Li, Zhongwen Guo, Hongyang Ma

Published Feb 1, 2021• 4 citations
Publisher

Abstract

In this paper, we develop a novel hybrid automatic-repeat-request (ARQ) protocol for the quantum communication system using quantum stabilizer codes. The quantum information is encoded by stabilizer codes to against the channel noise. The two-photon entangled state is prepared for codeword secure transmission. Hybrid ARQ protocol rules the recognition and retransmission of error codewords. In this protocol, the property of quantum entangled state ensures the security of information, the theory of hybrid ARQ system improves the reliability of transmission, the theory of quantum stabilizer codes corrects the flipping errors of codewords. Finally, we verify the security and throughput efficiency of this protocol.

DOI
10.23919/jcc.2021.02.004

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In this paper, we develop a novel hybrid automatic-repeat-request (ARQ) protocol for the quantum communication system using quantum stabilizer codes. The quantum information is encoded by stabilizer codes to against the channel noise. The two-photon entangled state is prepared for codeword secure transmission. Hybrid ARQ protocol rules the recognition and retransmission of error codewords. In this protocol, the property of quantum entangled state ensures the security of information, the theory of hybrid ARQ system improves the reliability of transmission, the theory of quantum stabilizer codes corrects the flipping errors of codewords. Finally, we verify the security and throughput efficiency of this protocol.
Abstract Quantum communication has been extensively studied and continuously developed due to its theoretical absolute security. In this work, a novel multiparty quantum communication protocol based on quantum stabilizer codes (QSC) is proposed. Firstly, a trusted third party provides quantum identity authentication (QIA) for users. Secondly, users prepare quantum multiparticle entangled states for transmitting secret information. Thirdly, the secret information is encoded by the QSC to resist channel noise. A part of the encoded qubits is selected to detect the security of the communication. In this protocol, QIA prevents active attacks such as impersonation attacks; the physical laws of quantum entangled state ensure information security; the theory of QSC corrects the flipping errors of qubits, and improves the communication efficiency. In addition, we prove the security of the protocol, and further verify the communication efficiency. Compared with existing protocols, this protocol has better performance on communication efficiency.
From the classical selective repeat ARQ (Automatic Repeat-reQuest) protocol, a selective repeat ARQ quantum synchronous communication protocol in data link layer is presented by utilizing the intrinsic characteristics of quantum mechanics. The proposed protocol divides the link into the preparation and the send stages, where the message is sent via classical channel and the preparation and distribution of EPR (Einstein-Podolsky-Rosen) pairs are supposed to be accomplished at the preparation stage. The performances of several protocols in data link layer are compared and analyzed from the aspects of throughput and utilization ratio of the channel. It is shown that the proposed protocol enhances the maximum throughput and the utilization ratio of the channel effectively and improves the performance of the selective repeat ARQ protocol for date link layers. The proposed protocol is of great significance in military communications.
This paper presents the design of a communication protocol leveraging quantum error-correcting codes to enhance the reliability of quantum communication. The core idea revolves around encoding quantum information using a specific quantum error-correcting code and subsequently transmitting this encoded information. During transmission, the protocol employs error detection and correction techniques based on the chosen code to mitigate the detrimental effects of noise and decoherence, which are inherent challenges in quantum communication. The proposed protocol aims to significantly improve the robustness of quantum communication channels, a critical step towards realizing practical quantum networks and secure quantum key distribution. The theoretical framework and mathematical formulation of the protocol are presented, detailing the encoding process, error detection, and correction mechanisms. This work contributes to the growing field of quantum communication by providing a concrete design methodology for building more reliable quantum communication systems.
This paper is a tutorial-style introduction to methods and protocols for reliable transmission of quantum information over noisy quantum links. The exposition is based on a design philosophy that parallels classical link-layer mechanisms such as forward error correction and Automatic Repeat reQuest (ARQ). It starts by drawing analogies and highlights differences between classical and quantum links. Such analogies are used as guiding principles, with explicit attention to where the classical correspondence no longer applies and where non-classical constraints and resources govern the protocol design. The emphasis is on the fact that classical reliability is achieved through fungible and cloneable bits, whereas unknown quantum states cannot be copied or freely retransmitted. In addition, quantum information is subject to stringent physical constraints due to decoherence as well as the need for transduction between stationary and flying qubits. Quantum error correction is presented as the analogue of classical forward error correction, where logical qubits are protected by encoding them into larger entangled code spaces and using syndrome measurements to infer and correct errors without collapsing the encoded state. It then introduces teleportation-based link abstractions, in which transmission of an unknown qubit is realized by consuming shared Bell pairs together with classical messages. Entanglement purification protocols play a role similar to ARQ-style reliability enhancement by converting many noisy entangled pairs into fewer, higher-fidelity pairs at the cost of additional resources. The paper is written from the perspective of classical communication engineering and is intended as a guide for translating the relevant ideas toward reliable quantum links and networks.
By studying the properties of the mixture of Bell state particles and single photons,in the paper we design a quantum code scheme with high coding capacity,and propose a novel quantum secure direct communication protocol with high transmission efficiency.Alice prepares Bell state particles and single photons,and divides Bell state particles into two sequences SA and SB.SB is sent to Bob for the first security check through using quantum correlation properties of particles.When the check result shows that the quantum channel is safe,by using the designed quantum code scheme, Alice encodes her classical message on the mixed quantum state sequence of Bell sequence SA and single photon sequence SS.Then,some single photons that are used for security check are re-inserted randomly into the encoded sequence,and the order of particles is rearranged to ensure checking Eve's attack.Alice sends the new sequence to Bob.Bob delays and receives it.And then,the quantum channel conducts the second-time security check.The transmission error rate is calculated,and if the error rate is lower than the tolerance threshold,the channel is safe.Bob decodes and reads Alice's message.The first security check is to determine whether quantum channel is safe.The second security check is to test whether there are eavesdroppers during information transmission.Safety analysis is done by applying the quantum information theory for the proposed protocol.The error rate introduced by Eve and the amount of information by Eve are calculated.It is shown that this pro-tocol can effectively resist measurement-resend attack,intercept-resend attack, auxiliary particle attack,denial of service attack and Trojan attack.Among them,auxiliary particle attack is analyzed in detail.The transmission efficiency and coding capacity are also analyzed.The transmission efficiency is 2,the quantum bit rate is 1,and the coding capacity is that a quantum state can encode three bits of classical messages.We also compare the proposed protocol with many existing popular protocols in the sense of efficiency,e.g.,Ping-Pong protocol, Deng F G et al.'s two-step and one-pad-time quantum secure direct communication protocol,Wang J et al.'s quantum secure direct communication protocol based on entanglement swapping and Quan D X et al.'s one-way quantum secure direct communication protocol based on single photon.It is proved that this proposed protocol has higher transmission efficiency.In addition,neither complex U operation nor entanglement swapping is used,and implementation process is simplified.However,this protocol is devoted to theoretical research of quantum secure direct communication.There are still some difficulties in the practical application.For example,the storage technology of quantum states is not mature at present.It is not easy to prepare and measure Bell state particles nor to combine them with single photons,and so on.The implementation of this protocol depends on the development of quantum technology in the future.
The quantum internet, which will be a hybrid of quantum and classical networks, is expected to provide information-theoretic security for data transmission. Classical networks have well-established protocols for reliable end-to-end transmission that use duplicating the classical bits implicitly. However, due to the no-cloning theorem, quantum bits (qubits) cannot be copied. In this paper, we propose to use a Universal Quantum Copying Machine (UQCM) to create imperfect clones and summarizes the Quantum Automatic Repeat Request (QARQ) protocol, which is inspired by its classical counterpart. To investigate the viability of QARQ, a simulation platform is created considering Nitrogen-vacancy (NV) center qubit platform that implements QARQ for quantum communication. The results explore the applications it is suitable for while maintaining enough quality of the qubit state. Two major quantum technologies are studied for these protocols: Direct Transmission (DT), and Teleportation (TP). It has been shown that for short distance communication DT provides better fidelity than TP while for long-distance communication TP outperforms DT and hence improves the QARQ performance as well.