How to correct small quantum errors

Details How to correct small quantum errors How to correct small quantum errors

2002-06-13

arxiv.org/abs/quant-ph/0206086v1

Physics

Quantum Physics

LaTeX2e, 23 pages, 6 figures (3 eps, 3 pstricks)

Scientific paper

10.1007/3-540-45855-7_7

The theory of quantum error correction is a cornerstone of quantum information processing. It shows that quantum data can be protected against decoherence effects, which otherwise would render many of the new quantum applications practically impossible. In this paper we give a self contained introduction to this theory and to the closely related concept of quantum channel capacities. We show, in particular, that it is possible (using appropriate error correcting schemes) to send a non-vanishing amount of quantum data undisturbed (in a certain asymptotic sense) through a noisy quantum channel T, provided the errors produced by T are small enough.

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