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Quantum computing is deemed to require error correction at scale to mitigate physical noise by reducing it to lower noise levels while operating on encoded logical qubits.
“Good quantum error-correcting codes exist”
A. R. Calderbank and Peter W. Shor · 1996
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.
“Surface codes: Towards practical large-scale quantum computation”
Austin G. Fowler, Matteo Mariantoni, John M. Martinis, and Andrew N. Cleland · 2012
Earlier work this paper cites.
“Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength”
Jean-Pierre Tillich and Gilles Zémor · 2014
Earlier work this paper cites.
“Steerable optical tweezers for ultracold atom studies”
K. O. Roberts, T. McKellar, J. Fekete, A. Rakonjac, A. B. Deb, and N. Kjærgaard · 2014
Earlier work this paper cites.
“Decoding across the quantum low-density parity-check code landscape”
Joschka Roffe, David R. White, Simon Burton, and Earl Campbell · 2020
Earlier work this paper cites.
“Quantum low-density parity-check codes”
Nikolas P. Breuckmann and Jens Niklas Eberhardt · 2021
Earlier work this paper cites.
“Degenerate quantum LDPC codes with good finite length performance”
Pavel Panteleev and Gleb Kalachev · 2021
Earlier work this paper cites.
“Stim: a fast stabilizer circuit simulator”
Craig Gidney · 2021
Earlier work this paper cites.
“Asymptotically good quantum and locally testable classical LDPC codes”
Pavel Panteleev and Gleb Kalachev · 2022
Cited alongside, same era.
“Qubit mapping for reconfigurable atom arrays”
Bochen Tan, Dolev Bluvstein, Mikhail D. Lukin, and Jason Cong · 2022
Cited alongside, same era.
“Accelerating the assembly of defect-free atomic arrays with maximum parallelisms”
Shuai Wang, Wenjun Zhang, Tao Zhang, Shuyao Mei, Yuqing Wang, Jiazhong Hu, and Wenlan Chen · 2023
Cited alongside, same era.
“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
Cited alongside, same era.
“Entangling four logical qubits beyond break-even in a nonlocal code”
Yifan Hong, Elijah Durso-Sabina, David Hayes, and Andrew Lucas · 2024
Cited alongside, same era.
“Logical quantum processor based on reconfigurable atom arrays”
“Matching generalized-bicycle codes to neutral atoms for low-overhead fault-tolerance”
Joshua Viszlai, Willers Yang, Sophia Fuhui Lin, Junyu Liu, Natalia Nottingham, Jonathan M Baker, and Frederic T Chong · 2025
Closest in time.
“Architecture for fast implementation of quantum low-density parity-check codes with optimized rydberg gates”
C. Poole, T. M. Graham, M. A. Perlin, M. Otten, and M. Saffman · 2025
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“Toward a 2d local implementation of quantum low-density parity-check codes”
Noah Berthusen, Dhruv Devulapalli, Eddie Schoute, Andrew M. Childs, Michael J. Gullans, Alexey V. Gorshkov, and Daniel Gottesman · 2025
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“Logical operators and fold-transversal gates of bivariate bicycle codes”
Jens Niklas Eberhardt and Vincent Steffan · 2025
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“Existence and characterisation of coprime bivariate bicycle codes” (2025). Appearances:
Jasper Johannes Postema and Servaas JJMF Kokkelmans · 2025
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Dolev Bluvstein, Simon J Evered, Alexandra A Geim, Sophie H Li, Hengyun Zhou, Tom Manovitz, Sepehr Ebadi, Madelyn Cain, Marcin Kalinowski, Dominik Hangleiter, et al · 2024
Cited alongside, same era.
“Quantum two-block group algebra codes”
Hsiang-Ku Lin and Leonid P. Pryadko · 2024
Cited alongside, same era.
“Constant-overhead fault-tolerant quantum computation with reconfigurable atom arrays”
Qian Xu, J Pablo Bonilla Ataides, Christopher A Pattison, Nithin Raveendran, Dolev Bluvstein, Jonathan Wurtz, Bane Vasić, Mikhail D Lukin, Liang Jiang, and Hengyun Zhou · 2024
Cited alongside, same era.
“Small quantum codes from algebraic extensions of generalized bicycle codes” (2024)
Nikolaos Koukoulekidis, Fedor Šimkovic IV, Martin Leib, and Francisco Revson Fernandes Pereira · 2024
Cited alongside, same era.
“Continuous operation of a coherent 3,000-qubit system”
Neng-Chun Chiu, Elias C. Trapp, Jinen Guo, Mohamed H. Abobeih, Luke M. Stewart, Simon Hollerith, Pavel L. Stroganov, Marcin Kalinowski, Alexandra A. Geim, Simon J. Evered, Sophie H. Li, Xingjian Lyu, Lisa M. Peters, Dolev Bluvstein, Tout T. Wang, Markus Greiner, Vladan Vuletić, and Mikhail D. Lukin · 2025
Closest in time.
“Multivariate bicycle codes”
Lukas Voss, Sim Jian Xian, Tobias Haug, and Kishor Bharti · 2025
Closest in time.
“Lowering connectivity requirements for bivariate bicycle codes using morphing circuits”
Mackenzie H. Shaw and Barbara M. Terhal · 2025
Closest in time.