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We introduce a class of models, dubbed paired twist-defect networks, that generalize the structure of Kitaev's honeycomb model for which there is a direct equivalence between: i) Floquet codes (FCs), ii) adiabatic loops of gapped Hamiltonians, and iii) unitary loops or Floquet-enriched topological orders (FETs) many-body localized phases.
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C. Gidney, M. Newman, A. Fowler, and M. Broughton, A Fault-Tolerant Honeycomb Memory, Quantum 5
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M. S. Kesselring, J. C. M. de la Fuente, F. Thomsen, J. Eisert, S. D. Bartlett, and B. J. Brown, Anyon condensation and the color code 10.48550/ARXIV.2212.00042 (2022)
2022
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2018
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L. Fidkowski, H. C. Po, A. C. Potter, and A. Vishwanath, Interacting invariants for floquet phases of fermions in two dimensions, Physical Review B 99
2019
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M. Barkeshli, P. Bonderson, M. Cheng, and Z. Wang, Symmetry fractionalization, defects, and gauging of topological phases, Phys. Rev. B 100
2019
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D. V. Else and R. Thorngren, Crystalline topological phases as defect networks, Physical Review B 99
2019
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2020
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2021
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2021
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2022
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2022
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2023
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A. Dua, T. Ellison, J. Sullivan, and N. Tantivasadakarn, Topological floquet codes: new examples from general principles, In preparation (2023)
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T. Ellison, J. Sullivan, A. Dua, and N. Tantivasadakarn, Floquet codes with a twist, In preparation (2023)
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B. Roberts, S. Vijay, A. Vishwanath, and A. Dua, Topological invariants of floquet codes, In preparation (2023)
2023
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