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PIRSA:19110136

Error correction with the color code

APA

Kubica, A. (2019). Error correction with the color code. Perimeter Institute for Theoretical Physics. https://pirsa.org/19110136

Aleksander Kubica Yale University

Talk numberPIRSA:19110136
Talk Type Conference
Subject

Abstract

The color code is a topological quantum code with many valuable fault-tolerant logical gates. Its two-dimensional version may soon be realized with currently available superconducting hardware despite constrained qubit connectivity. In the talk, I will focus on how to perform error correction with the color code in d ≥ 2 dimensions. I will describe an efficient color code decoder, the Restriction Decoder, which uses as a subroutine any toric code decoder. I will also present numerical estimates of the storage threshold of the Restriction Decoder for the triangular color code against circuit-level depolarizing noise. Based on arXiv:1905.07393 and arXiv:1911.00355.