Fault-tolerant quantum computation with long-range correlated noise.

@article{Aharonov2006FaulttolerantQC,
  title={Fault-tolerant quantum computation with long-range correlated noise.},
  author={Dorit Aharonov and Alexei Kitaev and John Preskill},
  journal={Physical review letters},
  year={2006},
  volume={96 5},
  pages={050504}
}
We prove a new version of the quantum accuracy threshold theorem that applies to non-Markovian noise with algebraically decaying spatial correlations. We consider noise in a quantum computer arising from a perturbation that acts collectively on pairs of qubits and on the environment, and we show that an arbitrarily long quantum computation can be executed with high reliability in D spatial dimensions, if the perturbation is sufficiently weak and decays with the distance r between the qubits… CONTINUE READING

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