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A Decoder for the Color Code with Boundaries

2020/03/25 by Skylar Turner, Turner, Skylar, Josey Hanish +7 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · #Coding theory and cryptography #DNA and Biological Computing #FOS: Physical sciences #Quantum Physics (quant-ph) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2003.11602

openalex publication_date 2020/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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."

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