Robustness of a topological phase: Topological color code in a parallel magnetic field

Jahromi SS, Kargarian M, Masoudi SF, Schmidt KP (2013)


Publication Status: Published

Publication Type: Journal article

Publication year: 2013

Journal

Publisher: AMER PHYSICAL SOC

Book Volume: 87

Journal Issue: 9

DOI: 10.1103/PhysRevB.87.094413

Abstract

The robustness of the topological color code, which is a class of error-correcting quantum codes, is investigated under the influence of a uniform magnetic field on the honeycomb lattice. Our study relies on two high-order series expansions using perturbative continuous unitary transformations in the limit of low and high fields, exact diagonalization, and a classical approximation. We show that the topological color code in a single parallel field is isospectral to the Baxter-Wu model in a transverse field on the triangular lattice. It is found that the topological phase is stable up to a critical field beyond which it breaks down to the polarized phase by a first-order phase transition. The results also suggest that the topological color code is more robust than the toric code in the parallel magnetic field. DOI: 10.1103/PhysRevB.87.094413

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APA:

Jahromi, S.S., Kargarian, M., Masoudi, S.F., & Schmidt, K.P. (2013). Robustness of a topological phase: Topological color code in a parallel magnetic field. Physical Review B, 87(9). https://dx.doi.org/10.1103/PhysRevB.87.094413

MLA:

Jahromi, Saeed S., et al. "Robustness of a topological phase: Topological color code in a parallel magnetic field." Physical Review B 87.9 (2013).

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