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We introduce a new heuristic decoder, Relay-BP, targeting real-time quantum circuit decoding for large-scale quantum computers.
1904
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T. Richardson and R. Urbanke, Modern Coding Theory (Cambridge University Press, USA, 2008)
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D. Poulin and Y. Chung, On the iterative decoding of sparse quantum codes, Quantum Info. Comput. 8
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N. Raveendran and B. Vasić, Trapping Sets of Quantum LDPC Codes, Quantum 5
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A. A. Kovalev and L. P. Pryadko, Quantum kronecker sum-product low-density parity-check codes with finite rate, Physical Review A—Atomic, Molecular, and Optical Physics 88
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B. M. Terhal, Quantum error correction for quantum memories, Reviews of Modern Physics 87
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E. Nachmani, E. Marciano, L. Lugosch, W. J. Gross, D. Burshtein, and Y. Be’ery, Deep learning methods for improved decoding of linear codes, IEEE Journal of Selected Topics in Signal Processing 12
2018
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2021
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J. Valls, F. Garcia-Herrero, N. Raveendran, and B. Vasić, Syndrome-based Min-Sum vs OSD-0 decoders: FPGA implementation and analysis for quantum LDPC codes, IEEE Access 9
2021
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C. Gidney, Stim: A fast stabilizer circuit simulator, Quantum 5
2021
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2024
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2022
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2022
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2022
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J. Roffe, LDPC: Python tools for low density parity check codes (2022)
2022
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2023
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2023
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S. Vittal, P. Das, and M. Qureshi, Astrea: Accurate quantum error-decoding via practical minimum-weight perfect-matching, in Proceedings of the 50th Annual International Symposium on Computer Architecture (2023) pp. 1–16
2023
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2023
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2024
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D. Chytas, M. Pacenti, N. Raveendran, M. F. Flanagan, and B. Vasić, Enhanced message-passing decoding of degenerate quantum codes utilizing trapping set dynamics, IEEE Communications Letters 28
2024
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2024
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