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- W2750348520 abstract "Three-dimensional (3D) color codes have advantages for fault-tolerant quantum computing, such as protected quantum gates with relatively low overhead and robustness against imperfect measurement of error syndromes. Here we investigate the storage threshold error rates for bit-flip and phase-flip noise in the 3D color code on the body-centererd cubic lattice, assuming perfect syndrome measurements. In particular, by exploiting a connection between error correction and statistical mechanics, we estimate the threshold for 1D string-like and 2D sheet-like logical operators to be $p^{(1)}_mathrm{3DCC} simeq 1.9%$ and $p^{(2)}_mathrm{3DCC} simeq 27.6%$. We obtain these results by using parallel tempering Monte Carlo simulations to study the disorder-temperature phase diagrams of two new 3D statistical-mechanical models: the 4- and 6-body random coupling Ising models." @default.
- W2750348520 created "2017-08-31" @default.
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- W2750348520 date "2018-05-04" @default.
- W2750348520 modified "2023-09-23" @default.
- W2750348520 title "Three-Dimensional Color Code Thresholds via Statistical-Mechanical Mapping" @default.
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- W2750348520 doi "https://doi.org/10.1103/physrevlett.120.180501" @default.
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