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Autori principali: Lin, Yingjia, Anand, Abhinav, Brown, Kenneth R.
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2511.20576
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author Lin, Yingjia
Anand, Abhinav
Brown, Kenneth R.
author_facet Lin, Yingjia
Anand, Abhinav
Brown, Kenneth R.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_20576
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamic local single-shot checks for toric codes
Lin, Yingjia
Anand, Abhinav
Brown, Kenneth R.
Quantum Physics
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.
title Dynamic local single-shot checks for toric codes
topic Quantum Physics
url https://arxiv.org/abs/2511.20576