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We present a topological approach to lifting a quantum CSS code.
A note on 4-dimensional handlebodies
François Laudenbach and Valentin Poénaru · 1972
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Scheme for reducing decoherence in quantum computer memory
Peter W. Shor · 1995
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Good quantum error-correcting codes exist
A. R. Calderbank and Peter W. Shor · 1996
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Error Correcting Codes in Quantum Theory
A. M. Steane · 1996
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Multiple-particle interference and quantum error correction
A. M. Steane · 1996
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Projective Plane and Planar Quantum Codes
Michael H. Freedman and David A. Meyer · 2001
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Combinatorial Group Theory
Roger C. Lyndon and Paul E. Schupp · 2001
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Z2-systolic freedom and quantum codes
Michael H. Freedman, David A. Meyer, and Feng Luo · 2002
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Algebraic topology
Allen Hatcher · 2002
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Fault-tolerant quantum computation by anyons
A.Yu. Kitaev · 2003
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Matrices in the theory of signed simple graphs,
Thomas Zaslavsky · 2013
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Lift chain complex from 𝔽 2 \mathbb{F}_{2} to ℤ \mathbb{Z}
David E Speyer (https://mathoverflow.net/users/297/david-e speyer) · 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 Zémor · 2014
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On tensor products of CSS codes
Benjamin Audoux and Alain Couvreur · 2019
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Balanced Product Quantum Codes
Nikolas P. Breuckmann and Jens N. Eberhardt · 2021
Cited alongside, same era.
Locally testable codes with constant rate, distance, and locality
Irit Dinur, Shai Evra, Ron Livne, Alexander Lubotzky, and Shahar Mozes · 2022
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Quantum Tanner codes
Anthony Leverrier and Gilles Zémor · 2022
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Asymptotically good Quantum and locally testable classical LDPC codes
Pavel Panteleev and Gleb Kalachev · 2022
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Quantum ldpc codes with almost linear minimum distance
Pavel Panteleev and Gleb Kalachev · 2022
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Decoding quantum tanner codes
Anthony Leverrier and Gilles Zémor · 2023
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Local Quantum Codes from Subdivided Manifolds,
Elia Portnoy · 2023
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Quantum Low-Density Parity-Check Codes
Nikolas P. Breuckmann and Jens Niklas Eberhardt · 2021
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Building manifolds from quantum codes
Michael Freedman and Matthew Hastings · 2021
Cited alongside, same era.
Fiber bundle codes: breaking the n1/2 polylog(n) barrier for Quantum LDPC codes
Matthew B. Hastings, Jeongwan Haah, and Ryan O’Donnell · 2021
Cited alongside, same era.
Guanyu Zhu, Shehryar Sikander, Elia Portnoy, Andrew W. Cross, and Benjamin J. Brown · 2024
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Lifts of quantum css codes
Virgile Guemard · 2025
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