Fault-tolerant quantum computation with long-range correlated noise

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

2005-10-30

arxiv.org/abs/quant-ph/0510231v1

Phys. Rev. Lett. 96 (2006) 050504

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevLett.96.050504

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 faster than 1/r^D.

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