Tricolored lattice gauge theory with randomness: fault tolerance in topological color codes

@article{Andrist2011TricoloredLG,
  title={Tricolored lattice gauge theory with randomness: fault tolerance in topological color codes},
  author={Ruben S. Andrist and Helmut G. Katzgraber and H{\'e}ctor Bomb́ın and Miguel Angel Mart{\'i}n-Delgado},
  journal={New Journal of Physics},
  year={2011},
  volume={13},
  pages={083006}
}
  • Ruben S. Andrist, Helmut G. Katzgraber, +1 author Miguel Angel Martín-Delgado
  • Published 2011
  • Physics
  • New Journal of Physics
  • We compute the error threshold of color codes—a class of topological quantum codes that allow a direct implementation of quantum Clifford gates—when both qubit and measurement errors are present. By mapping the problem onto a statistical–mechanical three-dimensional disordered Ising lattice gauge theory, we estimate via large-scale Monte Carlo simulations that color codes are stable against 4.8(2)% errors. Furthermore, by evaluating the skewness of the Wilson loop distributions, we introduce a… CONTINUE READING

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