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Quantum convolutional codes concatenated with the GKP code for correcting continuous errors

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Abstract

Quantum convolutional codes constructed with the stabilizer formalism have the ability to protect a sequence of qubits against decoherence. Such codes can correct errors including phase-flip errors and bit-flip errors at the receiver by measuring the error syndrome. In this paper, we propose a framework of quantum convolutional codes which can deal with continuous errors that occur more frequently in quantum channels. We concatenate quantum convolutional codes with the GKP code which is designed to be resistant to small shift errors. Instead of measuring the error syndrome, we make use of the output information of the decoding circuit with several iterations to further reduce the error.

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Authors and Affiliations

  1. Department of Communications Science and Engineering, School of Information Science and Engineering, Fudan University, Shanghai, China

    Hanwei Xiao & Xiaoguang Chen

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  1. Hanwei Xiao
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  2. Xiaoguang Chen
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Correspondence to Xiaoguang Chen.

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Xiao, H., Chen, X. Quantum convolutional codes concatenated with the GKP code for correcting continuous errors. Quantum Inf Process 21, 198 (2022). https://doi.org/10.1007/s11128-022-03545-2

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  • DOI: https://doi.org/10.1007/s11128-022-03545-2

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