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Geometrically local quantum codes, comprised of qubits and checks embedded in $\mathbb{R}^D$ with local check operators, have been a subject of significant interest.
“Fault-Tolerant Quantum Computation by Anyons”
A. Kitaev · 2003
Earlier work this paper cites.
“A No-Go Theorem for a Two-Dimensional Self-Correcting Quantum Memory Based on Stabilizer Codes”
Sergey Bravyi and Barbara Terhal · 2009
Earlier work this paper cites.
“Realizing complexes with bases as cellular complexes” URL:https://mathoverflow.net/q/9829 (version: 2009-12-27), MathOverflow
algori (https://mathoverflow.net/users/2349/algori) · 2009
Earlier work this paper cites.
“Tradeoffs for Reliable Quantum Information Storage in 2D Systems”
Sergey Bravyi, David Poulin and Barbara Terhal · 2010
Earlier work this paper cites.
“Generalizations of the Kolmogorov-Barzdin Embedding Estimates”
Misha Gromov and Larry Guth · 2012
Earlier work this paper cites.
“Building Manifolds from Quantum Codes”
Michael Freedman and Matthew Hastings · 2021
Earlier work this paper cites.
“On Quantum Weight Reduction” arXiv:2102.10030
M.. Hastings · 2021
Cited alongside, same era.
“Balanced Product Quantum Codes”
Nikolas. Breuckmann and Jens. Eberhardt · 2021
Cited alongside, same era.
“Quantum LDPC Codes with Almost Linear Minimum Distance”
Pavel Panteleev and Gleb Kalachev · 2021
Cited alongside, same era.
“Asymptotically Good Quantum and Locally Testable Classical LDPC Codes”
Pavel Panteleev and Gleb Kalachev · 2022
Cited alongside, same era.
“Quantum Tanner Codes”
Anthony Leverrier and Gilles Z\’emor · 2022
Cited alongside, same era.
“Asymptotically good quantum and locally testable classical LDPC codes”
Pavel Panteleev and Gleb Kalachev · 2022
Cited alongside, same era.
“Good Quantum LDPC Codes with Linear Time Decoders”
Irit Dinur, Min-Hsiu Hsieh, Ting-Chun Lin and Thomas Vidick · 2023
Later among the works it cites.
“Local Quantum Codes from Subdivided Manifolds” arXiv:2303.06755
Elia Portnoy · 2023
Later among the works it cites.
“Geometrically Local Quantum and Classical Codes from Subdivision” arXiv:2309.16104
Ting-Chun Lin, Adam Wills and Min-Hsiu Hsieh · 2023
Later among the works it cites.
“Layer Codes” arXiv:2309.16503
Dominic. Williamson and Nou\’edyn Baspin · 2023
Later among the works it cites.
“In preparation”, 2024
Ting-Chun Lin and Elia Portnoy · 2024
Closest in time.
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