Fault-tolerant error correction for a universal non-Abelian topological quantum computer at finite temperature

• URL: http://arxiv.org/abs/2301.00054v1
• Date: Fri, 30 Dec 2022 21:05:31 GMT
• Title: Fault-tolerant error correction for a universal non-Abelian topological quantum computer at finite temperature
• Authors: Alexis Schotte, Lander Burgelman, Guanyu Zhu
• Abstract summary: We study fault-tolerant error correction in a quantum memory constructed as a two-dimensional model of Fibonacci anyons on a torus. We provide strong evidence for the existence of a fault-tolerant universal non-Abelian topological quantum computer.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study fault-tolerant error correction in a quantum memory constructed as a two-dimensional model of Fibonacci anyons on a torus, in the presence of thermal noise represented by pair-creation processes and measurement errors. The correction procedure is based on the cellular automaton decoders originating in the works of G\'acs and Harrington. Through numerical simulations, we observe that this code behaves fault-tolerantly and that threshold behavior is likely present. Hence, we provide strong evidence for the existence of a fault-tolerant universal non-Abelian topological quantum computer.

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