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In this work, we propose a fully differentiable iterative decoder for quantum low-density parity-check (LDPC) codes.
“Low-density parity-check codes”
R. Gallager · 1962
Earlier work this paper cites.
“Good quantum error-correcting codes exist”
A.. Calderbank and Peter. Shor · 1996
Earlier work this paper cites.
“Multiple-particle interference and quantum error correction”
Andrew Steane · 1996
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“On the iterative decoding of sparse quantum codes”
David Poulin and Yeojin Chung · 2008
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“Enhanced feedback iterative decoding of sparse quantum codes”
Yun-Jiang Wang, Barry. Sanders, Bao-Ming Bai and Xin-Mei Wang · 2011
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“Fifteen years of quantum LDPC coding and improved decoding strategies”
Zunaira Babar et al · 2015
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“On deep learning-based channel decoding”
Tobias Gruber, Sebastian Cammerer, Jakob Hoydis and Stephan ten Brink · 2017
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“Modified Belief Propagation Decoders for Quantum Low-Density Parity-Check Codes”
Alex Rigby, J.. Olivier and Peter Jarvis · 2019
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“Neural belief-propagation decoders for quantum error-correcting codes”
Ye-Hua Liu and David Poulin · 2019
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Kao-Yueh Kuo and Ching-Yi Lai · 2020
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Nikolas. Breuckmann and Jens. Eberhardt · 2021
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Pavel Panteleev and Gleb Kalachev · 2021
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Pavel Panteleev and Gleb Kalachev · 2021
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“Log-domain decoding of quantum LDPC codes over binary finite fields”
Ching-Yi Lai and Kao-Yueh Kuo · 2021
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“Asymptotically good quantum and locally testable classical LDPC codes”
Pavel Panteleev and Gleb Kalachev · 2022
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“Quantum Tanner codes”
Anthony Leverrier and Gilles Zémor · 2022
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“Stabilizer inactivation for message-passing decoding of quantum LDPC codes”
Julien Du, Mehdi Mhalla and Valentin Savin · 2022
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“Graph neural networks for channel decoding”
Sebastian Cammerer, Jakob Hoydis, Fayçalı̈t Aoudia and Alexander Keller · 2022
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“High-threshold and low-overhead fault-tolerant quantum memory”
Sergey Bravyi et al · 2023
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“Trapping sets of quantum LDPC codes”
Nithin Raveendran and Bane Vasić · 2021
Cited alongside, same era.
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“Layered Decoding of Quantum LDPC Codes”
Julien Du et al · 2023
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