Dynamic local single-shot checks for toric codes

• URL: http://arxiv.org/abs/2511.20576v1
• Date: Tue, 25 Nov 2025 18:09:25 GMT
• Title: Dynamic local single-shot checks for toric codes
• Authors: Yingjia Lin, Abhinav Anand, Kenneth R. Brown,
• Abstract summary: Single-shot error correction aims to suppress errors using only one round of syndrome extraction.<n>In this work, we introduce local single-shot checks, where we impose constraints on check weights.
• Score: 3.696446447208332
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum error correction typically requires repeated syndrome extraction due to measurement noise, which results in substantial time overhead in fault-tolerant computation. Single-shot error correction aims to suppress errors using only one round of syndrome extraction. However, for most codes, it requires high-weight checks, which significantly degrade, and often eliminate, single-shot performance at the circuit level. In this work, we introduce local single-shot checks, where we impose constraints on check weights. Using a dynamic measurement scheme, we show that the number of required measurement rounds can be reduced by a factor determined by this constraint. As an example, we show through numerical simulation that our scheme can improve decoding performance compared to conventional checks when using sliding-window decoding with a reduced window size under circuit-level noise models for toric codes. Our work provides a new direction for constructing checks that can reduce time overhead in large-scale fault-tolerant quantum computation.

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