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A self-correcting quantum memory can store and protect quantum information for a time that increases without bound with the system size and without the need for active error correction.
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Matthew B Hastings, “Topological order at nonzero temperature,” Physical Review Letters 107
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Andrew S Darmawan, Gavin K Brennen, and Stephen D Bartlett, “Measurement-based quantum computation in a two-dimensional phase of matter,” New Journal of Physics 14
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Kevin Walker and Zhenghan Wang, “(3+1)-tqfts and topological insulators,” Frontiers of Physics 7
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Hector Bombin, Guillaume Duclos-Cianci, and David Poulin, “Universal topological phase of two-dimensional stabilizer codes,” New Journal of Physics 14
2012
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Sergey Bravyi and Jeongwan Haah, “Quantum self-correction in the 3D cubic code model,” Physical Review Letters 111
2013
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Olivier Landon-Cardinal and David Poulin, “Local topological order inhibits thermal stability in 2D,” Physical Review Letters 110
2013
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Fabio L Pedrocchi, Adrian Hutter, James R Wootton, and Daniel Loss, “Enhanced thermal stability of the toric code through coupling to a bosonic bath,” Physical Review A 88
2013
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Chris Heinrich, Fiona Burnell, Lukasz Fidkowski, and Michael Levin, “Symmetry-enriched string nets: Exactly solvable models for SET phases,” Physical Review B 94
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Beni Yoshida, “Topological phases with generalized global symmetries,” Physical Review B 93
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Jacob Miller and Akimasa Miyake, “Hierarchy of universal entanglement in 2D measurement-based quantum computation,” npj Quantum Information 2
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Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, and Xiao-Gang Wen, “Symmetry protected topological orders and the group cohomology of their symmetry group,” Physical Review B 87
2013
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Andrej Mesaros and Ying Ran, “Classification of symmetry enriched topological phases with exactly solvable models,” Physical Review B 87
2013
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Maissam Barkeshli, Chao-Ming Jian, and Xiao-Liang Qi, “Twist defects and projective non-abelian braiding statistics,” Physical Review B 87
2013
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Joseph M Renes, Akimasa Miyake, Gavin K Brennen, and Stephen D Bartlett, “Holonomic quantum computing in symmetry-protected ground states of spin chains,” New Journal of Physics 15
2013
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C. W. von Keyserlingk, F. J. Burnell, and S. H. Simon, “Three-dimensional topological lattice models with surface anyons,” Phys. Rev. B 87
2013
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F. J. Burnell, C. W. von Keyserlingk, and S. H. Simon, “Phase transitions in three-dimensional topological lattice models with surface anyons,” Phys. Rev. B 88
2013
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MB Hastings, “Classifying quantum phases with the kirby torus trick,” Physical Review B 88
2013
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Sagar Vijay, Jeongwan Haah, and Liang Fu, “Fracton topological order, generalized lattice gauge theory, and duality,” Physical Review B 94
2016
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Dominic J Williamson, “Fractal symmetries: Ungauging the cubic code,” Physical Review B 94
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A Bolt, G Duclos-Cianci, D Poulin, and TM Stace, “Foliated quantum error-correcting codes,” Physical Review Letters 117
2016
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Meng Cheng, Zheng-Cheng Gu, Shenghan Jiang, and Yang Qi, “Exactly solvable models for symmetry-enriched topological phases,” Physical Review B 96
2017
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Lukasz Fidkowski and Ashvin Vishwanath, “Realizing anomalous anyonic symmetries at the surfaces of three-dimensional gauge theories,” Physical Review B 96
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Benjamin J Brown, Katharina Laubscher, Markus S Kesselring, and James R Wootton, “Poking holes and cutting corners to achieve Clifford gates with the surface code,” Physical Review X 7
2017
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Iris Cong, Meng Cheng, and Zhenghan Wang, “Universal quantum computation with gapped boundaries,” Physical Review Letters 119
2017
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Sam Roberts, Beni Yoshida, Aleksander Kubica, and Stephen D Bartlett, “Symmetry-protected topological order at nonzero temperature,” Physical Review A 96
2017
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Kristan Temme, “Thermalization time bounds for Pauli stabilizer hamiltonians,” Communications in Mathematical Physics 350
2017
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Anton Kapustin and Ryan Thorngren, “Higher symmetry and gapped phases of gauge theories,” in Algebra, Geometry, and Physics in the 21st Century (Springer, 2017) pp. 177–202
2017
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2017
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Zitao Wang and Xie Chen, “Twisted gauge theories in three-dimensional walker-wang models,” Phys. Rev. B 95
2017
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Dominic J Williamson and Zhenghan Wang, “Hamiltonian models for topological phases of matter in three spatial dimensions,” Annals of Physics 377
2017
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Dominic V Else and Chetan Nayak, “Cheshire charge in (3 + 1)-D topological phases,” Physical Review B 96
2017
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Dominic V Else, Paul Fendley, Jack Kemp, and Chetan Nayak, “Prethermal strong zero modes and topological qubits,” Physical Review X 7
2017
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Han Ma, Ethan Lake, Xie Chen, and Michael Hermele, “Fracton topological order via coupled layers,” Physical Review B 95
2017
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Yizhi You, Trithep Devakul, FJ Burnell, and SL Sondhi, “Subsystem symmetry protected topological order,” Physical Review B 98
2018
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2018
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