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A quantum computing primer for operator theorists

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arxiv math/0404553 v2 pith:PQHIWPOQ submitted 2004-04-30 math.OA math.FAquant-ph

A quantum computing primer for operator theorists

classification math.OA math.FAquant-ph
keywords quantumcorrectionerroroperatoralgorithmsaspectsbasicbrief
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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