Completely positive covariant two-qubit quantum processes and optimal quantum NOT operations for entangled qubit pairs

Details Completely positive covariant two-qubit quantum processes and optimal quantum NOT operations for entangled qubit pairs Completely positive covariant two-qubit quantum processes and optimal quantum NOT operations for entangled qubit pairs

2006-03-21

arxiv.org/abs/quant-ph/0603184v1

Physics

Quantum Physics

14 pages, 2 figures

Scientific paper

10.1103/PhysRevA.73.062311

The structure of all completely positive quantum operations is investigated which transform pure two-qubit input states of a given degree of entanglement in a covariant way. Special cases thereof are quantum NOT operations which transform entangled pure two-qubit input states of a given degree of entanglement into orthogonal states in an optimal way. Based on our general analysis all covariant optimal two-qubit quantum NOT operations are determined. In particular, it is demonstrated that only in the case of maximally entangled input states these quantum NOT operations can be performed perfectly.

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