A Decoder for the Color Code with Boundaries.
2020
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 1.5% - 3\% for X errors, and a threshold of 0.1% - 0.2% for 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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