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Auteurs principaux: Campos, Julie A., Brown, Kenneth R.
Format: Preprint
Publié: 2024
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Accès en ligne:https://arxiv.org/abs/2412.03808
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author Campos, Julie A.
Brown, Kenneth R.
author_facet Campos, Julie A.
Brown, Kenneth R.
contents We can design efficient quantum error-correcting (QEC) codes by tailoring them to our choice of quantum architecture. Useful tools for constructing such codes include Clifford deformations and appropriate gauge fixings of compass codes. In this work, we find Clifford deformations that can be applied to elongated compass codes resulting in QEC codes with improved performance under noise models with errors biased towards dephasing commonly seen in quantum computing architectures. These Clifford deformations enhance decoder performance by introducing symmetries, while the stabilizers of compass codes can be selected to obtain more information on high-rate errors. As a result, the codes exhibit thresholds that increase with bias and lower logical error rates under both code capacity and phenomenological noise models. One of the Clifford deformations we explore yields QEC codes with better thresholds and logical error rates than those of the XZZX surface code at moderate biases under code capacity noise.
format Preprint
id arxiv_https___arxiv_org_abs_2412_03808
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Clifford-Deformed Compass Codes
Campos, Julie A.
Brown, Kenneth R.
Quantum Physics
We can design efficient quantum error-correcting (QEC) codes by tailoring them to our choice of quantum architecture. Useful tools for constructing such codes include Clifford deformations and appropriate gauge fixings of compass codes. In this work, we find Clifford deformations that can be applied to elongated compass codes resulting in QEC codes with improved performance under noise models with errors biased towards dephasing commonly seen in quantum computing architectures. These Clifford deformations enhance decoder performance by introducing symmetries, while the stabilizers of compass codes can be selected to obtain more information on high-rate errors. As a result, the codes exhibit thresholds that increase with bias and lower logical error rates under both code capacity and phenomenological noise models. One of the Clifford deformations we explore yields QEC codes with better thresholds and logical error rates than those of the XZZX surface code at moderate biases under code capacity noise.
title Clifford-Deformed Compass Codes
topic Quantum Physics
url https://arxiv.org/abs/2412.03808