Clifford-Deformed Surface Codes Article Swipe
Arpit Dua
,
Aleksander Kubica
,
Liang Jiang
,
Steven T. Flammia
,
Michael J. Gullans
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1103/prxquantum.5.010347
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1103/prxquantum.5.010347
Various realizations of Kitaev’s surface code perform surprisingly well for biased Pauli noise. Attracted by these potential gains, we study the performance of Clifford-deformed surface codes (CDSCs) obtained from the surface code by the application of single-qubit Clifford operators. We first analyze CDSCs on the 3×3 square lattice and find that, depending on the noise bias, their logical error rates can differ by orders of magnitude. To explain the observed behavior, we introduce the effective distance d′, which reduces to the standard distance for unbiased noise. To study CDSC performance in the thermodynamic limit, we focus on random CDSCs. Using the statistical mechanical mapping for quantum codes, we uncover a phase diagram that describes random CDSC families with 50% threshold at infinite bias. In the high-threshold region, we further demonstrate that typical code realizations outperform the thresholds and subthreshold logical error rates, at finite bias, of the best-known translationally invariant codes. We demonstrate the practical relevance of these random CDSC families by constructing a translation-invariant CDSC belonging to a high-performance random CDSC family. We also show that our translation-invariant CDSC outperforms well-known translation-invariant CDSCs, such as the XZZX and XY codes. Published by the American Physical Society 2024
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/prxquantum.5.010347
- http://link.aps.org/pdf/10.1103/PRXQuantum.5.010347
- OA Status
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- Cited By
- 23
- References
- 44
- Related Works
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- OpenAlex ID
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All OpenAlex metadata
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https://doi.org/10.1103/prxquantum.5.010347Digital Object Identifier
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Clifford-Deformed Surface CodesWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-03-19Full publication date if available
- Authors
-
Arpit Dua, Aleksander Kubica, Liang Jiang, Steven T. Flammia, Michael J. GullansList of authors in order
- Landing page
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https://doi.org/10.1103/prxquantum.5.010347Publisher landing page
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https://link.aps.org/pdf/10.1103/PRXQuantum.5.010347Direct link to full text PDF
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://link.aps.org/pdf/10.1103/PRXQuantum.5.010347Direct OA link when available
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Surface (topology), Mathematics, Computer science, GeometryTop concepts (fields/topics) attached by OpenAlex
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23Total citation count in OpenAlex
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2025: 14, 2024: 8, 2022: 1Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W2135273380, https://openalex.org/W2088636071, https://openalex.org/W1979591111, https://openalex.org/W3100779044, https://openalex.org/W2751086103, https://openalex.org/W2905125220, https://openalex.org/W3085306040, https://openalex.org/W1968256495, https://openalex.org/W2009916095, https://openalex.org/W2746656048, https://openalex.org/W2016304634, https://openalex.org/W2152338767, https://openalex.org/W2942934279, https://openalex.org/W2955624093, https://openalex.org/W3199789432, https://openalex.org/W2892395081, https://openalex.org/W2921957626, https://openalex.org/W2301999847, https://openalex.org/W1983557117, https://openalex.org/W1992709943, https://openalex.org/W2080644448, https://openalex.org/W3202125008, https://openalex.org/W3181439919, https://openalex.org/W2075431083, https://openalex.org/W2107453273, https://openalex.org/W2084409213, https://openalex.org/W1971261557, https://openalex.org/W2750348520, https://openalex.org/W2155808716, https://openalex.org/W1972595847, https://openalex.org/W1993255105, https://openalex.org/W2034653900, https://openalex.org/W2021251923, https://openalex.org/W2952602009, https://openalex.org/W3155795538, https://openalex.org/W3105557522, https://openalex.org/W3101716590, https://openalex.org/W3105040923, https://openalex.org/W3102245096, https://openalex.org/W3112394946, https://openalex.org/W3098035205, https://openalex.org/W3100736866, https://openalex.org/W3098993979, https://openalex.org/W4388315794 |
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