Postselection threshold against biased noise

Details Postselection threshold against biased noise Postselection threshold against biased noise

2006-08-01

arxiv.org/abs/quant-ph/0608018v2

Physics

Quantum Physics

13 pages, FOCS 2006; conference version

Scientific paper

The highest current estimates for the amount of noise a quantum computer can tolerate are based on fault-tolerance schemes relying heavily on postselecting on no detected errors. However, there has been no proof that these schemes give even a positive tolerable noise threshold. A technique to prove a positive threshold, for probabilistic noise models, is presented. The main idea is to maintain strong control over the distribution of errors in the quantum state at all times. This distribution has correlations which conceivably could grow out of control with postselection. But in fact, the error distribution can be written as a mixture of nearby distributions each satisfying strong independence properties, so there are no correlations for postselection to amplify.

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