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B. Bakalov and A. Kirillov, Lectures on Tensor Categories and Modular Functors (American Mathematical Society, 2001)
2001
Earlier work this paper cites.
A. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
2003
Earlier work this paper cites.
M. A. Levin and X.-G. Wen, String-net condensation: A physical mechanism for topological phases, Phys. Rev. B 71
2005
Earlier work this paper cites.
C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Non-abelian anyons and topological quantum computation, Rev. Mod. Phys. 80
Original
2008
Earlier work this paper cites.
Bombin and Martin-Delgado, Family of non-abelian kitaev models on a lattice: Topological condensation and confinement, Phys. Lett. B 78
Original
2008
Earlier work this paper cites.
R. Koenig, G. Kuperberg, and B. W. Reichardt, Quantum computation with turaev-viro codes, Annals of Physics 325
2010
Earlier work this paper cites.

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2023

Ren, Yuanjie, Shor, Peter

In this paper, we explore topological quantum computation augmented by subphases and phase transitions.

We commence by investigating the anyon tunneling map, denoted as $\varphi$, between subphases of the quantum double model $\mathcal{D}(G)$ for any arbitrary finite group $G$.
Subsequently, we delve into the relationship between $\varphi$ and the Floquet code, and extend the Abelian Floquet code to encompass non-abelian cases.
We conclude by demonstrating how phase transitions in both the temporal and spatial directions can enhance the diversity of topological gates for general topological orders described by modular tensor categories.

B. Bakalov and A. Kirillov, Lectures on Tensor Categories and Modular Functors (American Mathematical Society, 2001)
2001
Earlier work this paper cites.
A. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
2003
Earlier work this paper cites.
M. A. Levin and X.-G. Wen, String-net condensation: A physical mechanism for topological phases, Phys. Rev. B 71
2005
Earlier work this paper cites.
C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Non-abelian anyons and topological quantum computation, Rev. Mod. Phys. 80
Original
2008
Earlier work this paper cites.
Bombin and Martin-Delgado, Family of non-abelian kitaev models on a lattice: Topological condensation and confinement, Phys. Lett. B 78
Original
2008
Earlier work this paper cites.
R. Koenig, G. Kuperberg, and B. W. Reichardt, Quantum computation with turaev-viro codes, Annals of Physics 325
2010
Earlier work this paper cites.

C.-H. Lin, M. Levin, and F. J. Burnell, Generalized string-net models: A thorough exposition, Phys. Rev. B 103
2021
Later among the works it cites.
Kesselring et al. , Anyon condensation and the color code (2022), arXiv:2212.00042 [quant-ph]
Original
2022
Later among the works it cites.
A. Schotte, G. Zhu, L. Burgelman, and F. Verstraete, Quantum error correction thresholds for the universal fibonacci turaev-viro code, Phys. Rev. X 12
2022
Later among the works it cites.
J. Sullivan, R. Wen, and A. C. Potter, Floquet codes and phases in twist-defect networks (2023), arXiv:arXiv:2303.17664 [quant-ph]
Original
2023
Closest in time.
A. Chatterjee and X.-G. Wen, Holographic theory for continuous phase transitions: Emergence and symmetry protection of gaplessness, Phys. Rev. B 108

alphaXiv searches the wider corpus for related work and actual follow-ups.

alphaXiv is searching for related work…

2021

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Cited in the paper.

A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, Surface codes: Towards practical large-scale quantum computation, Phys. Rev. A 86

Cited in the paper.

Cited in the paper.

Cited in the paper.

2023

Closest in time.