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Bacon-Shor Board Games

2025/04/03 by Murad Alam, M. Sohaib Alam, Alam, M. Sohaib +5 · 4 voices
Social Sciences · Arts and Humanities · #Names, Identity, and Discrimination Research #Digital Games and Media #Fashion and Cultural Textiles

paper · pdf · doi:10.48550/arxiv.2504.02749

Abstract

We identify a period-4 measurement schedule for the checks of the Bacon-Shor code that fully covers spacetime with constant-weight detectors, and is numerically observed to provide the code with a threshold. Unlike previous approaches, our method does not rely on code concatenation and instead arises as the solution to a coloring game on a square grid. Under a uniform circuit-level noise model, we observe a threshold of approximately 0.3% when decoding with minimum weight perfect matching, and we conjecture that this could be improved using a more tailored decoder.

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