Error Threshold for Color Codes and Random Three-Body Ising Models
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Author(s)
Bombin, Hector
Martin-Delgado, M. A.
Katzgraber, Helmut G.
Date Issued
August 2009
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Katzgraber, Helmut G., H. Bombin, and M. A. Martin-Delgado. “Error Threshold for Color Codes and Random Three-Body Ising Models.” Physical Review Letters 103.9 (2009): 090501. © 2009 The American Physical Society.
Version
Final published version
Abstract
We study the error threshold of color codes, a class of topological quantum codes that allow a direct implementation of quantum Clifford gates suitable for entanglement distillation, teleportation, and fault-tolerant quantum computation. We map the error-correction process onto a statistical mechanical random three-body Ising model and study its phase diagram via Monte Carlo simulations. The obtained error threshold of pc=0.109(2) is very close to that of Kitaev’s toric code, showing that enhanced computational capabilities do not necessarily imply lower resistance to noise.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevLett.103.090501
