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Quantum low-density parity-check (qLDPC) codes offer a promising route to scalable fault-tolerant quantum computation with constant overhead.
On the vanishing of Tor in regular local rings
Stephen Lichtenbaum · 1966
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A theory of two-dimensional cyclic codes
Hideki Imai · 1977
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An Introduction to Homological Algebra
Charles A. Weibel · 1994
Earlier work this paper cites.
Sparse-graph codes for quantum error correction
D.J.C. MacKay, G. Mitchison, and P.L. McFadden · 2004
Earlier work this paper cites.
Quantum kronecker sum-product low-density parity-check codes with finite rate
Alexey A. Kovalev and Leonid P. Pryadko · 2013
Earlier work this paper cites.
Fault-tolerant quantum computation with constant overhead
Daniel Gottesman · 2014
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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 Zemor · 2014
Cited alongside, same era.
Single-shot fault-tolerant quantum error correction
Héctor Bombín · 2015
Cited alongside, same era.
Transversal Clifford gates on folded surface codes
Jonathan E. Moussa · 2016
Cited alongside, same era.
Balanced Product Quantum Codes
Nikolas P. Breuckmann and Jens N. Eberhardt · 2021
Cited alongside, same era.
Quantum Low-Density Parity-Check Codes
Nikolas P. Breuckmann and Jens Niklas Eberhardt · 2021
Cited alongside, same era.
Asymptotically good Quantum and locally testable classical LDPC codes
Pavel Panteleev and Gleb Kalachev · 2022
Cited alongside, same era.
Partitioning qubits in hypergraph product codes to implement logical gates
Armanda O. Quintavalle, Paul Webster, and Michael Vasmer · 2023
Later among the works it cites.
Abelian and non-abelian quantum two-block codes, July 2023
Renyu Wang, Hsiang-Ku Lin, and Leonid P. Pryadko · 2023
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Fold-Transversal Clifford Gates for Quantum Codes
Nikolas P. Breuckmann and Simon Burton · 2024
Closest in time.
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
Closest in time.
GAP – Groups, Algorithms, and Programming, Version 4.13.1
The GAP Group · 2024
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Quantum two-block group algebra codes
Hsiang-Ku Lin and Leonid P. Pryadko · 2024
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