Low-overhead fault-tolerant error correction scheme based on quantum stabilizer codes |
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| Affiliation: | 1.Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China;2.School of Information Science and Technology, North China University of Technology, Beijing 100144, China;3.Advanced Cryptography and System Security Key Laboratory of Sichuan Province, Chengdu 610025, China |
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| Abstract: | Fault-tolerant error-correction (FTEC) circuit is the foundation for achieving reliable quantum computation and remote communication. However, designing a fault-tolerant error correction scheme with a solid error-correction ability and low overhead remains a significant challenge. In this paper, a low-overhead fault-tolerant error correction scheme is proposed for quantum communication systems. Firstly, syndrome ancillas are prepared into Bell states to detect errors caused by channel noise. We propose a detection approach that reduces the propagation path of quantum gate fault and reduces the circuit depth by splitting the stabilizer generator into X-type and Z-type. Additionally, a syndrome extraction circuit is equipped with two flag qubits to detect quantum gate faults, which may also introduce errors into the code block during the error detection process. Finally, analytical results are provided to demonstrate the fault-tolerant performance of the proposed FTEC scheme with the lower overhead of the ancillary qubits and circuit depth. |
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| Keywords: | fault-tolerant error correction quantum stabilizer code gate fault quantum circuit |
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