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We propose a scheme for detecting and correcting faults in any Clifford circuit.
Low-density parity-check codes
Robert Gallager · 1962
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On the inherent intractability of certain coding problems (corresp.)
Elwyn Berlekamp, Robert McEliece, and Henk Van Tilborg · 1978
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The heisenberg representation of quantum computers
Daniel Gottesman · 1998
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Topological quantum memory
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
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Improved simulation of stabilizer circuits
Scott Aaronson and Daniel Gottesman · 2004
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Universal quantum computation with ideal clifford gates and noisy ancillas
Sergey Bravyi and Alexei Kitaev · 2005
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Topological quantum distillation
Hector Bombin and Miguel Angel Martin-Delgado · 2006
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Surface codes: Towards practical large-scale quantum computation
Austin G Fowler, Matteo Mariantoni, John M Martinis, and Andrew N Cleland · 2012
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Quantum self-correction in the 3d cubic code model
Sergey Bravyi and Jeongwan Haah · 2013
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Sparse quantum codes from quantum circuits
Dave Bacon, Steven T Flammia, Aram W Harrow, and Jonathan Shi · 2015
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Hardness of decoding quantum stabilizer codes
Pavithran Iyer and David Poulin · 2015
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Optimizing quantum error correction codes with reinforcement learning
Hendrik Poulsen Nautrup, Nicolas Delfosse, Vedran Dunjko, Hans J Briegel, and Nicolai Friis · 2019
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Optimization of the surface code design for majorana-based qubits
Rui Chao, Michael E Beverland, Nicolas Delfosse, and Jeongwan Haah · 2020
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On maximum-likelihood decoding with circuit-level errors
Leonid P Pryadko · 2020
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Stim: a fast stabilizer circuit simulator
Craig Gidney · 2021
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Dynamically generated logical qubits
Matthew B Hastings and Jeongwan Haah · 2021
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Degenerate quantum ldpc codes with good finite length performance
Pavel Panteleev and Gleb Kalachev · 2021
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Toward a union-find decoder for quantum ldpc codes
Nicolas Delfosse, Vivien Londe, and Michael E Beverland · 2022
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A pair measurement surface code on pentagons
Craig Gidney · 2022
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Opportunities and challenges in fault-tolerant quantum computation, 2022
Daniel Gottesman · 2022
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Decoding across the quantum low-density parity-check code landscape
Joschka Roffe, David R. White, Simon Burton, and Earl Campbell · 2020
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Almost-linear time decoding algorithm for topological codes
Nicolas Delfosse and Naomi H Nickerson · 2021
Cited alongside, same era.
Hardware optimized parity check gates for superconducting surface codes
Matthew J Reagor, Thomas C Bohdanowicz, David Rodriguez Perez, Eyob A Sete, and William J Zeng · 2022
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Relaxing hardware requirements for surface code circuits using time-dynamics
Matt McEwen, Dave Bacon, and Craig Gidney · 2023
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