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We develop an effective field theory characterizing the impact of decoherence on states with abelian topological order and on their capacity to protect quantum information.
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Z. Nussinov and G. Ortiz, Sufficient symmetry conditions for Topological Quantum Order, Proceedings of the National Academy of Science 106
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2018
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A. Coser and D. Pérez-García, Classification of phases for mixed states via fast dissipative evolution, Quantum 3
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2021
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K. J. Satzinger et al. , Realizing topologically ordered states on a quantum processor, Science 374
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2009
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R. Shankar and A. Vishwanath, Equality of bulk wave functions and edge correlations in some topological superconductors: A spacetime derivation, Physical Review Letters 107
2011
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2011
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S. Beigi, P. W. Shor, and D. Whalen, Communications in Mathematical Physics 306
2011
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A. Kapustin and N. Saulina, Nuclear Physics B 845
2011
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2021
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C. T. Chubb and S. T. Flammia, Statistical mechanical models for quantum codes with correlated noise, Ann. Inst. H. Poincare D Comb. Phys. Interact. 8
2021
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N. P. Breuckmann and J. N. Eberhardt, Quantum Low-Density Parity-Check Codes, PRX Quantum 2
2021
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2022
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2022
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2022
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Suppressing quantum errors by scaling a surface code logical qubit, Nature 614
2023
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S. J. Garratt, Z. Weinstein, and E. Altman, Measurements conspire nonlocally to restructure critical quantum states, Physical Review X 13
2023
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F. Venn, J. Behrends, and B. Béri, Coherent-error threshold for surface codes from majorana delocalization, Physical Review Letters 131
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J. Y. Lee, C.-M. Jian, and C. Xu, Quantum criticality under decoherence or weak measurement, PRX quantum 4
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2024
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R. Fan, Y. Bao, E. Altman, and A. Vishwanath, Diagnostics of mixed-state topological order and breakdown of quantum memory, PRX Quantum 5
2024
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2025
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2025
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