Related papers: Topological line in frustrated Toric code models

Topological line in frustrated Toric code models

URL: http://arxiv.org/abs/2101.03156v3
Date: Wed, 22 Sep 2021 17:55:39 GMT
Title: Topological line in frustrated Toric code models
Authors: M. H. Zarei, J. Abouie
Abstract summary: We show that an adjustable frustrated Toric code with a "topological line" at which no phase transition happens in the system is robust against a non-linear perturbation of arbitrary strength. Our study opens a new window towards more robust topological quantum codes which are cornerstones of large-scale quantum computing.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Typical topological systems undergo a topological phase transition in the presence of a strong enough perturbation. In this paper, we propose an adjustable frustrated Toric code with a "topological line" at which no phase transition happens in the system and the topological order is robust against a non-linear perturbation of arbitrary strength. This important result is a consequence of the interplay between frustration and nonlinearity in our system, which also causes to the emergence of other interesting phenomena such as reentrant topological phases and survival of the topological order under local projection operations. Our study opens a new window towards more robust topological quantum codes which are cornerstones of large-scale quantum computing.

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