Simplified Quantum Weight Reduction with Optimal Bounds

Short encodings of evolving structures

Daniel D Sleator, Robert E Trajan, and William P Thurston · 1992

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Entropy waves, the zig-zag graph product, and new constant-degree expanders

Omer Reingold, Salil Vadhan, and Avi Wigderson · 2002

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The PCP theorem by gap amplification

Irit Dinur · 2007

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A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes

Sergey Bravyi and Barbara Terhal · 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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Homological product codes

Sergey Bravyi and Matthew B. Hastings · 2014

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Weight reduction for quantum codes

Mathew B. Hastings · 2017

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On Quantum Weight Reduction, February 2021

M. B. Hastings · 2021

Earlier work this paper cites.

Building manifolds from quantum codes

Michael Freedman and Matthew Hastings · 2021

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Fiber bundle codes: Breaking the n1/2 polylog(n) barrier for Quantum LDPC codes

Matthew B. Hastings, Jeongwan Haah, and Ryan O’Donnell · 2021

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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 Zémor · 2022

Cited alongside, same era.

Parsimonious cones

Original

Aleksandr Berdnikov · 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

Cited alongside, same era.

Geometrically Local Quantum and Classical Codes from Subdivision, September 2023

Ting-Chun Lin, Adam Wills, and Min-Hsiu Hsieh · 2023

Cited alongside, same era.

Local Quantum Codes from Subdivided Manifolds, June 2023

Elia Portnoy · 2023

Cited alongside, same era.

Expansion of High-Dimensional Cubical Complexes: With Application to Quantum Locally Testable Codes

Irit Dinur, Ting-Chun Lin, and Thomas Vidick · 2024

Later among the works it cites.

Decodable Quantum LDPC Codes beyond the $\sqrt{n}$ Distance Barrier Using High-Dimensional Expanders

Shai Evra, Tali Kaufman, and Gilles Zémor · 2024

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Transform Arbitrary Good Quantum LDPC Codes into Good Geometrically Local Codes in Any Dimension, August 2024

Xingjian Li, Ting-Chun Lin, and Min-Hsiu Hsieh · 2024

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Improved qldpc surgery: Logical measurements and bridging codes

Original

Andrew Cross, Zhiyang He, Patrick Rall, and Theodore Yoder · 2024

Later among the works it cites.

Quantum LDPC Codes of Almost Linear Distance via Iterated Homological Products

Louis Golowich and Venkatesan Guruswami · 2025

Closest in time.