Fidelity and Concurrence of conjugated states

Preprint

7 July 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/9909060

Abstract

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.

Keywords

STRAIGHTFORWARD EXTENSION
CONCURRENCE ON CONJUGATED
TRANSITION PROBABILITY
SYSTEMS ILLUSTRATE
DENSITY OPERATORS
CONJUGATED STATES
NEW PROPERTIES
FUNCTIONS TURN
PROPERTIES

All Related Versions

Version 1, 1999-09-20, ArXiv
Version 2, 1999-10-10, ArXiv
Version 3, 1999-12-04, ArXiv
Version 4, 2000-07-07, ArXiv
Published version: Physical Review A, 62 (3), 032307.

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