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Error correction allows a quantum computer to preserve states long beyond the decoherence time of its physical qubits.
Paths, trees, and flowers
Jack Edmonds · 1965
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Algorithms for quantum computation: discrete logarithms and factoring
P.W. Shor · 1994
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Quantum computations: algorithms and error correction
A. Yu Kitaev · 1997
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On the iterative decoding of sparse quantum codes
D. Poulin and Y. Chung · 2008
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Quantum ldpc codes with positive rate and minimum distance proportional to n½
Jean-Pierre Tillich and Gilles Zemor · 2009
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Tradeoffs for reliable quantum information storage in 2D systems
Sergey Bravyi, David Poulin, and Barbara Terhal · 2010
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Surface code quantum computing by lattice surgery
Dominic Horsman, Austin G Fowler, Simon Devitt, and Rodney Van Meter · 2012
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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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Quantum expander codes
Anthony Leverrier, Jean-Pierre Tillich, and Gilles Zémor · 2015
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Quantum error correction for quantum memories
Barbara M Terhal · 2015
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Multi-path summation for decoding 2D topological codes
Ben Criger and Imran Ashraf · 2018
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Enhanced belief propagation decoder for 5G polar codes with bit-flipping
Yifei Shen, Wenqing Song, Yuqing Ren, Houren Ji, Xiaohu You, and Chuan Zhang · 2020
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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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Materials challenges and opportunities for quantum computing hardware
Nathalie P. de Leon, Kohei M. Itoh, Dohun Kim, Karan K. Mehta, Tracy E. Northup, Hanhee Paik, B. S. Palmer, N. Samarth, Sorawis Sangtawesin, and D. W. Steuerman · 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 low-density parity-check codes
Nikolas P. Breuckmann and Jens Niklas Eberhardt · 2021
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Explicit abelian lifts and quantum ldpc codes, 2021
Fernando Granha Jeronimo, Tushant Mittal, Ryan O’Donnell, Pedro Paredes, and Madhur Tulsiani · 2021
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Balanced product quantum codes
Nikolas P Breuckmann and Jens N Eberhardt · 2021
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Quantum ldpc codes with almost linear minimum distance
Pavel Panteleev and Gleb Kalachev · 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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Stim: a fast stabilizer circuit simulator
Craig Gidney · 2021
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Perspective on the current state-of-the-art of quantum computing for drug discovery applications
Nick S. Blunt, Joan Camps, Ophelia Crawford, Róbert Izsák, Sebastian Leontica, Arjun Mirani, Alexandra E. Moylett, Sam A. Scivier, Christoph Sünderhauf, Patrick Schopf, Jacob M. Taylor, and Nicole Holzmann · 2022
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Asymptotically good quantum and locally testable classical LDPC codes
Pavel Panteleev and Gleb Kalachev · 2022
An efficient decoder for a linear distance quantum LDPC code
Shouzhen Gu, Christopher A Pattison, and Eugene Tang · 2023
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Parallel window decoding enables scalable fault tolerant quantum computation
Luka Skoric, Dan E Browne, Kenton M Barnes, Neil I Gillespie, and Earl T Campbell · 2023
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Stabilizer inactivation for message-passing decoding of quantum LDPC codes, 2023
Julien du Crest, Mehdi Mhalla, and Valentin Savin · 2023
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Improved decoding of circuit noise and fragile boundaries of tailored surface codes
Oscar Higgott, Thomas C. Bohdanowicz, Aleksander Kubica, Steven T. Flammia, and Earl T. Campbell · 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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Quantum Tanner codes
Anthony Leverrier and Gilles Zémor · 2022
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Low-overhead fault-tolerant quantum computing using long-range connectivity
Lawrence Z Cohen, Isaac H Kim, Stephen D Bartlett, and Benjamin J Brown · 2022
Cited alongside, same era.
Connectivity constrains quantum codes
Nouédyn Baspin and Anirudh Krishna · 2022
Cited alongside, same era.
Efficient decoding up to a constant fraction of the code length for asymptotically good quantum codes
Anthony Leverrier and Gilles Zémor · 2022
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Good quantum ldpc codes with linear time decoders, 2022
Irit Dinur, Min-Hsiu Hsieh, Ting-Chun Lin, and Thomas Vidick · 2022
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Scalable surface code decoders with parallelization in time, 2022
Xinyu Tan, Fang Zhang, Rui Chao, Yaoyun Shi, and Jianxin Chen · 2022
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Ming Wang and Frank Mueller · 2024
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Lowering connectivity requirements for bivariate bicycle codes using morphing circuits, 2024
Mackenzie H. Shaw and Barbara M. Terhal · 2024
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Toward a 2D local implementation of quantum LDPC codes, 2024
Noah Berthusen, Dhruv Devulapalli, Eddie Schoute, Andrew M. Childs, Michael J. Gullans, Alexey V. Gorshkov, and Daniel Gottesman · 2024
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Architecture for fast implementation of qLDPC codes with optimized Rydberg gates, 2024
C. Poole, T. M. Graham, M. A. Perlin, M. Otten, and M. Saffman · 2024
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Classical product code constructions for quantum Calderbank-Shor-Steane codes
Dimiter Ostrev, Davide Orsucci, Francisco Lázaro, and Balazs Matuz · 2024
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Generalizing quantum Tanner codes, 2024
Olai Å. Mostad, Eirik Rosnes, and Hsuan-Yin Lin · 2024
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Improved QLDPC surgery: Logical measurements and bridging codes, 2024
Andrew Cross, Zhiyang He, Patrick Rall, and Theodore Yoder · 2024
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Single-shot decoding of good quantum LDPC codes
Shouzhen Gu, Eugene Tang, Libor Caha, Shin Ho Choe, Zhiyang He, and Aleksander Kubica · 2024
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Maximally extendable sheaf codes, 2024
Pavel Panteleev and Gleb Kalachev · 2024
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Check-agnosia based post-processor for message-passing decoding of quantum LDPC codes
Julien du Crest, Francisco Garcia-Herrero, Mehdi Mhalla, Valentin Savin, and Javier Valls · 2024
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Toward low-latency iterative decoding of QLDPC codes under circuit-level noise, 2024
Anqi Gong, Sebastian Cammerer, and Joseph M. Renes · 2024
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Localized statistics decoding: A parallel decoding algorithm for quantum low-density parity-check codes, 2024
Timo Hillmann, Lucas Berent, Armanda O. Quintavalle, Jens Eisert, Robert Wille, and Joschka Roffe · 2024
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