A Decoder for the Color Code with Boundaries
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\'in's recently proposed "colorful quantum computing."
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