Physics – Quantum Physics
Scientific paper
2010-05-05
New J. Phys. 13, 083006 (2011)
Physics
Quantum Physics
12 pages, 5 figures, 1 table
Scientific paper
10.1088/1367-2630/13/8/083006
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 4.5(2)% errors. Furthermore, by evaluating the skewness of the Wilson loop distributions, we introduce a very sensitive probe to locate first-order phase transitions in lattice gauge theories.
Andrist Ruben S.
Bombin H.
Katzgraber Helmut G.
Martin-Delgado Miguel Angel
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