Fidelity and Concurrence of conjugated states

Details Fidelity and Concurrence of conjugated states Fidelity and Concurrence of conjugated states

1999-09-20

arxiv.org/abs/quant-ph/9909060v4

Phys. Rev. A, 62, 032307 (2000)

Physics

Quantum Physics

10 pages, RevTex, Correction: Enlarged, reorganized version. More explanations

Scientific paper

10.1103/PhysRevA.62.032307

We prove some new properties of fidelity (transition probability) and concurrence, the latter defined by straightforward extension of Wootters notation. Choose a conjugation and consider the dependence of fidelity or of concurrence on conjugated pairs of density operators. These functions turn out to be concave or convex roofs. Optimal decompositions are constructed. Some applications to two- and tripartite systems illustrate the general theorem.

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