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arXiv · 2003.11602

A Decoder for the Color Code with Boundaries

Skylar Turner·Josey Hanish·Eion Blanchard·Noah Davis·Brian La Cour
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Abstract

We introduce a decoder for the 3D color code with boundaries, which is a variation of the restriction decoder introduced by Kubicka and Delfosse. Specifically, we adapt the lift procedure to efficiently find a correction on qubits adjacent to a boundary. We numerically estimate a threshold of $4\% - 8\%$ for Pauli $X$ errors and a threshold of $0.7\% - 0.8\%$ for Pauli $Z$ errors. Our work is a first step towards characterizing the performance of Bomb\'{i}n's recently proposed "colorful quantum computing."

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Skylar Turner, Josey Hanish, Eion Blanchard, Noah Davis, Brian La Cour. 2020-03-25. A Decoder for the Color Code with Boundaries. https://arxiv.org/abs/2003.11602

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