A Decoder for the Color Code with Boundaries

Skylar Turner; Josey Hanish; Eion Blanchard; Noah Davis; Brian La Cour

paper

A Decoder for the Color Code with Boundaries

arXiv:2003.11602

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 Bombín's recently proposed "colorful quantum computing."