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Fast decoding algorithms are decisive for real-time quantum error correction and for analyzing properties of error correction codes.
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“Topological quantum memory”
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“Fault-tolerant quantum computation by anyons”
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Chenyang Wang, Jim Harrington, and John Preskill · 2003
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Robert Raussendorf, Jim Harrington, and Kovid Goyal · 2006
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Thomas M. Stace, Sean D. Barrett, and Andrew C. Doherty · 2009
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Sean D. Barrett and Thomas M. Stace · 2010
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Alexey A. Kovalev and Leonid P. Pryadko · 2013
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Sergey Bravyi, Martin Suchara, and Alexander Vargo · 2014
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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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Nicolas Delfosse and Gilles Zémor · 2020
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“Experimental deterministic correction of qubit loss”
Roman Stricker, Davide Vodola, Alexander Erhard, Lukas Postler, Michael Meth, Martin Ringbauer, Philipp Schindler, Thomas Monz, Markus Müller, and Rainer Blatt · 2020
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“Fault-tolerant weighted union-find decoding on the toric code”
Shilin Huang, Michael Newman, and Kenneth R. Brown · 2020
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“Fault-tolerant compass codes”
Shilin Huang and Kenneth R. Brown · 2020
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“Quantum low-density parity-check codes”
Nikolas P. Breuckmann and Jens Niklas Eberhardt · 2021
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“Almost-linear time decoding algorithm for topological codes”
Nicolas Delfosse and Naomi H. Nickerson · 2021
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“Quantum LDPC codes with almost linear minimum distance”
Pavel Panteleev and Gleb Kalachev · 2021
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“Scalable quantum error correction for surface codes using FPGA” (2023)
Namitha Liyanage, Yue Wu, Alexander Deters, and Lin Zhong · 2023
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“Fusion-based quantum computation”
Sara Bartolucci, Patrick Birchall, Hector Bombin, Hugo Cable, Chris Dawson, Mercedes Gimeno-Segovia, Eric Johnston, Konrad Kieling, Naomi Nickerson, Mihir Pant, et al · 2023
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“Efficient algorithms for simulating percolation in photonic fusion networks” (2023)
Matthias C. Löbl, Stefano Paesani, and Anders S. Sørensen · 2023
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“High-threshold quantum computing by fusing one-dimensional cluster states”
Stefano Paesani and Benjamin J. Brown · 2023
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“Actis: A strictly local union–find decoder”
Tim Chan and Simon C Benjamin · 2023
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“Scalable surface-code decoders with parallelization in time”
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“Degenerate quantum LDPC codes with good finite length performance”
Pavel Panteleev and Gleb Kalachev · 2021
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“Demonstration of fault-tolerant universal quantum gate operations”
Lukas Postler, Sascha Heu β \beta en, Ivan Pogorelov, Manuel Rispler, Thomas Feldker, Michael Meth, Christian D. Marciniak, Roman Stricker, Martin Ringbauer, Rainer Blatt, et al · 2022
Cited alongside, same era.
“Realizing repeated quantum error correction in a distance-three surface code”
Sebastian Krinner, Nathan Lacroix, Ants Remm, Agustin Di Paolo, Elie Genois, Catherine Leroux, Christoph Hellings, Stefania Lazar, Francois Swiadek, Johannes Herrmann, et al · 2022
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“Scalable neural decoder for topological surface codes”
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“AFS: Accurate, fast, and scalable error-decoding for fault-tolerant quantum computers”
Poulami Das, Christopher A. Pattison, Srilatha Manne, Douglas M. Carmean, Krysta M. Svore, Moinuddin Qureshi, and Nicolas Delfosse · 2022
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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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Xinyu Tan, Fang Zhang, Rui Chao, Yaoyun Shi, and Jianxin Chen · 2023
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“Local predecoder to reduce the bandwidth and latency of quantum error correction”
Samuel C. Smith, Benjamin J. Brown, and Stephen D. Bartlett · 2023
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“Astrea: Accurate quantum error-decoding via practical minimum-weight perfect-matching”
Suhas Vittal, Poulami Das, and Moinuddin Qureshi · 2023
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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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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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“FPGA-based distributed union-find decoder for surface codes” (2024)
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Nadine Meister, Christopher A. Pattison, and John Preskill · 2024
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“Mitigating errors in logical qubits” (2024)
Samuel C Smith, Benjamin J Brown, and Stephen D Bartlett · 2024
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