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Hypergraph product (HGP) codes are one of the most popular family of quantum low-density parity-check (LDPC) codes.
Quantum computations with cold trapped ions
Juan I Cirac and Peter Zoller · 1995
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Good quantum error-correcting codes exist
A Robert Calderbank and Peter W Shor · 1996
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Multiple-particle interference and quantum error correction
Andrew Steane · 1996
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Stabilizer codes and quantum error correction
Daniel Gottesman · 1997
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Quantum computations: algorithms and error correction
A Yu Kitaev · 1997
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Quantum computation with quantum dots
Daniel Loss and David P DiVincenzo · 1998
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Progressive edge-growth tanner graphs
Xiao-Yu Hu, Evangelos Eleftheriou, and D-M Arnold · 2001
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A scheme for efficient quantum computation with linear optics
Emanuel Knill, Raymond Laflamme, and Gerald J Milburn · 2001
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Topological quantum memory
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
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Architecture for a large-scale ion-trap quantum computer
David Kielpinski, Chris Monroe, and David J Wineland · 2002
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Low-density parity-check codes
Robert Gallager · 2003
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Information theory, inference and learning algorithms
David JC MacKay · 2003
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Sparse-graph codes for quantum error correction
D. J. C. MacKay, G. Mitchison, and P. L. McFadden · 2004
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Sparse-graph codes for quantum error correction
David JC MacKay, Graeme Mitchison, and Paul L McFadden · 2004
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Spin-based quantum computing using electrons on liquid helium
SA Lyon · 2006
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Fault-tolerant quantum computation with high threshold in two dimensions
Robert Raussendorf and Jim Harrington · 2007
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Modern coding theory
Tom Richardson and Ruediger Urbanke · 2008
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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 LDPC Codes With Positive Rate and Minimum Distance Proportional to the Square Root of the Blocklength
Jean-Pierre Tillich and Gilles Zémor · 2013
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Quantum Kronecker sum-product low-density parity-check codes with finite rate
Alexey A. Kovalev and Leonid P. Pryadko · 2013
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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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Quantum low-density parity-check codes
Nikolas P Breuckmann and Jens Niklas Eberhardt · 2021
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Partial syndrome measurement for hypergraph product codes
Noah Berthusen and Daniel Gottesman · 2024
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Logical quantum processor based on reconfigurable atom arrays
Dolev Bluvstein, Simon J Evered, Alexandra A Geim, Sophie H Li, Hengyun Zhou, Tom Manovitz, Sepehr Ebadi, Madelyn Cain, Marcin Kalinowski, Dominik Hangleiter, et al · 2024
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High-threshold and low-overhead fault-tolerant quantum memory
Sergey Bravyi, Andrew W. Cross, Jay M. Gambetta, Dmitri Maslov, Patrick Rall, and Theodore J. Yoder · 2024
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Fast erasure decoder for hypergraph product codes
Nicholas Connolly, Vivien Londe, Anthony Leverrier, and Nicolas Delfosse · 2024
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Towards early fault tolerance on a 2 × \times n array of qubits equipped with shuttling
Adam Siegel, Armands Strikis, and Michael Fogarty · 2024
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Nicolas Delfosse, Michael E Beverland, and Maxime A Tremblay · 2021
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Stim: a fast stabilizer circuit simulator
Craig Gidney · 2021
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Combining hard and soft decoders for hypergraph product codes
Antoine Grospellier, Lucien Grouès, Anirudh Krishna, and Anthony Leverrier · 2021
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Fault-tolerant gates on hypergraph product codes
Anirudh Krishna and David Poulin · 2021
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Degenerate quantum ldpc codes with good finite length performance
Pavel Panteleev and Gleb Kalachev · 2021
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Trapping sets of quantum ldpc codes
Nithin Raveendran and Bane Vasić · 2021
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LDPC: Python tools for low density parity check codes, 2022
Joschka Roffe · 2022
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Qian Xu, J Pablo Bonilla Ataides, Christopher A Pattison, Nithin Raveendran, Dolev Bluvstein, Jonathan Wurtz, Bane Vasić, Mikhail D Lukin, Liang Jiang, and Hengyun Zhou · 2024
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Bruno C. A. Freire, Nicolas Delfosse, and Anthony Leverrier · 2025
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Single-shot preparation of hypergraph product codes via dimension jump
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Distance-preserving stabilizer measurements in hypergraph product codes
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Targeted clifford logical gates for hypergraph product codes
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Distributed fault-tolerant quantum memories over a 2xL array of qubit modules
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Low-overhead entangling gates from generalised dehn twists
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Fast and parallelizable logical computation with homological product codes
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Quantum error correction for long chains of trapped ions
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High-rate quantum LDPC codes for long-range-connected neutral atom registers
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