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Cited by 178Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum many-body systems

The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.

Optimal resources for topological two-dimensional stabilizer codes: Comparative study

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Bombin, H., Martin-Delgado, M. A.·2007·Physical Review A
DOI 10.1103/physreva.76.012305
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Abstract

We study the resources needed to construct topological two-dimensional stabilizer codes as a way to estimate in part their efficiency, and this leads us to perform a comparative study of surface codes and color codes. This study clarifies the similarities and differences between these two types of stabilizer code. We compute the topological error-correcting rate $C\ensuremath{\mathrel{:=}}n∕{d}^{2}$ for surface codes ${C}_{s}$ and color codes ${C}_{c}$ in several instances. On the torus, typical values are ${C}_{s}=2$ and ${C}_{c}=3∕2$, but we find that the optimal values are ${C}_{s}=1$ and ${C}_{c}=9∕8$. For planar codes, a typical value is ${C}_{s}=2$, while we find that the optimal values are ${C}_{s}=1$ and ${C}_{c}=3∕4$. In general, a color code encodes twice as many logical qubits as does a surface code.

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Metadata

Authors
Bombin, H., & Martin-Delgado, M. A.
Affiliations
Universidad Complutense de Madrid (ES)
ORCID
Martin-Delgado, M. A.
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2007-07-06
Volume
76
Issue
1
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.76.012305
OpenAlex
W2026181396
Cited by
178
References
21
Citations by year
2026: 13 · 2025: 35 · 2024: 18 · 2023: 13 · 2022: 13 · 2021: 10 · 2020: 5 · 2019: 13 · 2018: 13 · 2017: 10 · 2016: 7 · 2015: 4 · 2014: 5 · 2013: 5 · 2012: 5
FWCI
2.76
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review A (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
Keywords
surface code, color codes, two-dimensional codes, logical qubit encoding, toric code, quantum error correction, resource efficiency

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