Bounding the distance of quantum surface codes
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Publication:2865485
DOI10.1063/1.4726034zbMath1276.81036arXiv1108.2886OpenAlexW1965431137WikidataQ125309019 ScholiaQ125309019MaRDI QIDQ2865485
Publication date: 29 November 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.2886
Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Other types of codes (94B60) Applications to coding theory and cryptography of arithmetic geometry (14G50) Quantum coding (general) (81P70)
Related Items (3)
Quantum Locally Testable Codes ⋮ Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds ⋮ Systole of congruence coverings of arithmetic hyperbolic manifolds
Cites Work
- Fault-tolerant quantum computation by anyons
- Homological error correction: Classical and quantum codes
- Sparse-Graph Codes for Quantum Error Correction
- Quantum Error Correction: Classic Group Theory Meets a Quantum Challenge
- Topological quantum memory
- On Cayley Graphs, Surface Codes, and the Limits of Homological Coding for Quantum Error Correction
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