A quantum computing primer for operator theorists

Details A quantum computing primer for operator theorists A quantum computing primer for operator theorists

2004-04-30

arxiv.org/abs/math/0404553v2

Lin. Alg. Appl., 400 (2005), 147-167.

Mathematics

Operator Algebras

24 pages, to appear in Lin. Alg. Appl

Scientific paper

This is an exposition of some of the aspects of quantum computation and quantum information that have connections with operator theory. After a brief introduction, we discuss quantum algorithms. We outline basic properties of quantum channels, or equivalently, completely positive trace preserving maps. The main theorems for quantum error detection and correction are presented and we conclude with a description of a particular passive method of quantum error correction.

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