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Phases of matter with robust ground-state degeneracy, such as the quantum toric code, are known to be capable of robust quantum information storage.
Sidney Coleman, “Fate of the false vacuum: Semiclassical theory,” Phys. Rev. D 15
1977
Earlier work this paper cites.
HAM Daniëls and ACD Van Enter, “Differentiability properties of the pressure in lattice systems,” Communications in Mathematical Physics 71
1980
Earlier work this paper cites.
ACD van Enter, “A note on the stability of phase diagrams in lattice systems,” Communications in Mathematical Physics 79
1981
Earlier work this paper cites.
Lawrence E. Thomas, “Bound on the mass gap for finite volume stochastic ising models at low temperature,” Communications in Mathematical Physics 126
1989
Earlier work this paper cites.
A.Yu. Kitaev, “Fault-tolerant quantum computation by anyons,” Annals of Physics 303
2003
Earlier work this paper cites.
M. B. Hastings and Xiao-Gang Wen, “Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance,” Phys. Rev. B 72
2005
Earlier work this paper cites.
S. Bravyi, M. B. Hastings, and F. Verstraete, “Lieb-robinson bounds and the generation of correlations and topological quantum order,” Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
Andrea Montanari and Guilhem Semerjian, “On the dynamics of the glass transition on bethe lattices,” Journal of Statistical Physics 124
2006
Earlier work this paper cites.
Tom Richardson and Ruediger Urbanke, Modern coding theory (Cambridge University Press, 2008)
2008
Earlier work this paper cites.
Xie Chen, Zheng-Cheng Gu, and Xiao-Gang Wen, “Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order,” Phys. Rev. B 82
2010
Earlier work this paper cites.
Sergey Bravyi and Matthew B Hastings, “A short proof of stability of topological order under local perturbations,” Communications in mathematical physics 307
2011
Earlier work this paper cites.
Subir Sachdev, Quantum Phase Transitions , 2nd ed. (Cambridge University Press, 2011)
2011
Earlier work this paper cites.
Sven Bachmann, Spyridon Michalakis, Bruno Nachtergaele, and Robert Sims, “Automorphic equivalence within gapped phases of quantum lattice systems,” Communications in Mathematical Physics 309
2012
Earlier work this paper cites.
Spyridon Michalakis and Justyna P Zwolak, “Stability of frustration-free hamiltonians,” Communications in Mathematical Physics 322
2013
Earlier work this paper cites.
2013
Earlier work this paper cites.
Jean-Pierre Tillich and Gilles Zemor, “Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength,” IEEE Transactions on Information Theory 60
2014
Earlier work this paper cites.
Ilya Dumer, Alexey A. Kovalev, and Leonid P. Pryadko, “Thresholds for correcting errors, erasures, and faulty syndrome measurements in degenerate quantum codes,” Phys. Rev. Lett. 115
2015
Earlier work this paper cites.
Anthony Leverrier, Jean-Pierre Tillich, and Gilles Zémor, “Quantum expander codes,” in 2015 IEEE 56th Annual Symposium on Foundations of Computer Science (IEEE, 2015)
2015
Earlier work this paper cites.
Rahul Nandkishore and David A. Huse, “Many-body localization and thermalization in quantum statistical mechanics,” Annual Review of Condensed Matter Physics 6
2015
Cited alongside, same era.
Benjamin J. Brown, Daniel Loss, Jiannis K. Pachos, Chris N. Self, and James R. Wootton, “Quantum memories at finite temperature,” Rev. Mod. Phys. 88
2016
Cited alongside, same era.
Dmitry Abanin, Wojciech De Roeck, Wen Wei Ho, and François Huveneers, “A rigorous theory of many-body prethermalization for periodically driven and closed quantum systems,” Communications in Mathematical Physics 354
2017
Cited alongside, same era.
2018
Cited alongside, same era.
Bei Zeng, Xie Chen, Duan-Lu Zhou, Xiao-Gang Wen, et al. , Quantum information meets quantum matter (Springer, 2019)
Anurag Anshu, Nikolas P. Breuckmann, and Chinmay Nirkhe, “Nlts hamiltonians from good quantum codes,” in Proceedings of the 55th Annual ACM Symposium on Theory of Computing , STOC ’23 (ACM, 2023)
2023
Later among the works it cites.
Matthew F Lapa and Michael Levin, “Stability of ground state degeneracy to long-range interactions,” Journal of Statistical Mechanics: Theory and Experiment 2023
2023
Later among the works it cites.
Chi-Fang (Anthony) Chen, Andrew Lucas, and Chao Yin, “Speed limits and locality in many-body quantum dynamics,” Reports on Progress in Physics 86
2023
Later among the works it cites.
2023
Later among the works it cites.
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2019
Cited alongside, same era.
Zack Weinstein, Gerardo Ortiz, and Zohar Nussinov, “Universality classes of stabilizer code hamiltonians,” Phys. Rev. Lett. 123
2019
Cited alongside, same era.
Earl T Campbell, “A theory of single-shot error correction for adversarial noise,” Quantum Science and Technology 4
2019
Cited alongside, same era.
Lorenzo Piroli, Georgios Styliaris, and J. Ignacio Cirac, “Quantum circuits assisted by local operations and classical communication: Transformations and phases of matter,” Phys. Rev. Lett. 127
2021
Cited alongside, same era.
Matthew B. Hastings, Jeongwan Haah, and Ryan O’Donnell, “Fiber bundle codes: Breaking the n \sqrt{n} polylog( n n ) barrier for quantum ldpc codes,” in Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing , STOC 2021 (Association for Computing Machinery, New York, NY, USA, 2021) p. 1276–1288
2021
Cited alongside, same era.
Nikolas P. Breuckmann and Jens N. Eberhardt, “Balanced product quantum codes,” IEEE Transactions on Information Theory 67
2021
Cited alongside, same era.
2022
Cited alongside, same era.
Pavel Panteleev and Gleb Kalachev, “Asymptotically good quantum and locally testable classical ldpc codes,” in Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing , STOC 2022 (Association for Computing Machinery, New York, NY, USA, 2022) p. 375–388
2022
Cited alongside, same era.
2024
Closest in time.
Riddhi S. Gupta et al. , “Encoding a magic state with beyond break-even fidelity,” Nature 625
2024
Closest in time.
Dolev Bluvstein et al. , “Logical quantum processor based on reconfigurable atom arrays,” Nature 626
2024
Closest in time.
Noah Berthusen, Joan Dreiling, Cameron Foltz, John P. Gaebler, Thomas M. Gatterman, Dan Gresh, Nathan Hewitt, Michael Mills, Steven A. Moses, Brian Neyenhuis, Peter Siegfried, and David Hayes, “Experiments with the four-dimensional surface code on a quantum charge-coupled device quantum computer,” Phys. Rev. A 110
2024
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2024
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2024
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Chao Yin, Rahul Nandkishore, and Andrew Lucas, “Eigenstate localization in a many-body quantum system,” Phys. Rev. Lett. 133
2024
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2024
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2025
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2025
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Yaodong Li, Nicholas O’Dea, and Vedika Khemani, “Perturbative stability and error-correction thresholds of quantum codes,” PRX Quantum 6
2025
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Chao Yin, Federica M. Surace, and Andrew Lucas, “Theory of metastable states in many-body quantum systems,” Phys. Rev. X 15
2025
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