Quantifying nonorthogonality

Details Quantifying nonorthogonality Quantifying nonorthogonality

1999-07-30

arxiv.org/abs/quant-ph/9907110v1

Physics

Quantum Physics

Accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.60.4349

An exploratory approach to the possibility of analyzing nonorthogonality as a quantifiable property is presented. Three different measures for the nonorthogonality of pure states are introduced, and one of these measures is extended to single-particle density matrices using methods that are similar to recently introduced techniques for quantifying entanglement. Several interesting special cases are considered. It is pointed out that a measure of nonorthogonality can meaningfully be associated with a single mixed quantum state. It is then shown how nonorthogonality can be unlocked with classical information; this analysis reveals interesting inequalities and points to a number of connections between nonorthogonality and entanglement.

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