Single-shot decoding of good quantum LDPC codes Article Swipe
Shouzhen Gu
,
Eugene Tang
,
Libor Caha
,
Shin Ho Choe
,
Zhiyang He
,
Aleksander Kubica
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2306.12470
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2306.12470
Quantum Tanner codes constitute a family of quantum low-density parity-check (LDPC) codes with good parameters, i.e., constant encoding rate and relative distance. In this article, we prove that quantum Tanner codes also facilitate single-shot quantum error correction (QEC) of adversarial noise, where one measurement round (consisting of constant-weight parity checks) suffices to perform reliable QEC even in the presence of measurement errors. We establish this result for both the sequential and parallel decoding algorithms introduced by Leverrier and Zémor. Furthermore, we show that in order to suppress errors over multiple repeated rounds of QEC, it suffices to run the parallel decoding algorithm for constant time in each round. Combined with good code parameters, the resulting constant-time overhead of QEC and robustness to (possibly time-correlated) adversarial noise make quantum Tanner codes alluring from the perspective of quantum fault-tolerant protocols.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2306.12470
- https://arxiv.org/pdf/2306.12470
- OA Status
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- References
- 51
- Related Works
- 10
- OpenAlex ID
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https://openalex.org/W4381826716Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2306.12470Digital Object Identifier
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Single-shot decoding of good quantum LDPC codesWork title
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-06-21Full publication date if available
- Authors
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Shouzhen Gu, Eugene Tang, Libor Caha, Shin Ho Choe, Zhiyang He, Aleksander KubicaList of authors in order
- Landing page
-
https://arxiv.org/abs/2306.12470Publisher landing page
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https://arxiv.org/pdf/2306.12470Direct link to full text PDF
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2306.12470Direct OA link when available
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Low-density parity-check code, Decoding methods, Algorithm, Quantum, Error detection and correction, Computer science, Quantum error correction, Mathematics, Quantum computer, Quantum mechanics, PhysicsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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51Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| primary_location.landing_page_url | http://arxiv.org/abs/2306.12470 |
| publication_date | 2023-06-21 |
| publication_year | 2023 |
| referenced_works | https://openalex.org/W3207755657, https://openalex.org/W2964321404, https://openalex.org/W3206809046, https://openalex.org/W3100736866, https://openalex.org/W2013754283, https://openalex.org/W2032147770, https://openalex.org/W2963760674, https://openalex.org/W4297166102, https://openalex.org/W4376311824, https://openalex.org/W3022682281, https://openalex.org/W2120102043, https://openalex.org/W4367694571, https://openalex.org/W3200537988, https://openalex.org/W3216957975, https://openalex.org/W2996546932, https://openalex.org/W2069711632, https://openalex.org/W3101551690, https://openalex.org/W2167927798, https://openalex.org/W3105835575, https://openalex.org/W4229760579, https://openalex.org/W1972603977, https://openalex.org/W2131690084, https://openalex.org/W3205637696, https://openalex.org/W4283068501, https://openalex.org/W4366147525, https://openalex.org/W4283713089, https://openalex.org/W3088153896, https://openalex.org/W3102186154, https://openalex.org/W4313227180, https://openalex.org/W4376639549, https://openalex.org/W4282924009, https://openalex.org/W3213933684, https://openalex.org/W2062794279, https://openalex.org/W1999706070, https://openalex.org/W3204653979, https://openalex.org/W3104338735, https://openalex.org/W2051651148, https://openalex.org/W4323721116, https://openalex.org/W2042474962, https://openalex.org/W3190051394, https://openalex.org/W2114207424, https://openalex.org/W2040103735, https://openalex.org/W3089458228, https://openalex.org/W2135273380, https://openalex.org/W4292607217, https://openalex.org/W4283329800, https://openalex.org/W4307203248, https://openalex.org/W1984021697, https://openalex.org/W4316652411, https://openalex.org/W2963273092, https://openalex.org/W3207663430 |
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