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- W1561752464 abstract "We study the phase transition from two different topological phases to the ferromagnetic phase by focusing on points of the phase transition. To this end, we present a detailed mapping from such models to the Ising model in a transverse field. Such a mapping is derived by rewriting the initial Hamiltonian in a new basis so that the final model in such a basis has a well-known approximated phase transition point. Specifically, we consider the toric codes and the color codes on various lattices with Ising perturbation. Our results provide a useful table to compare the robustness of the topological codes and to explicitly show that the robustness of the topological codes depends on triangulation of their underlying lattices." @default.
- W1561752464 created "2016-06-24" @default.
- W1561752464 creator A5078188468 @default.
- W1561752464 date "2015-02-17" @default.
- W1561752464 modified "2023-09-27" @default.
- W1561752464 title "Robustness of topological quantum codes: Ising perturbation" @default.
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- W1561752464 doi "https://doi.org/10.1103/physreva.91.022319" @default.
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