Playing with Fidelities

Details Playing with Fidelities Playing with Fidelities

2002-02-21

arxiv.org/abs/math-ph/0202032v1

Physics

Mathematical Physics

AMS-LaTeX v1.2, 31 pages

Scientific paper

10.1016/S0034-4877(03)80005-8

The notion of partial fidelities as invented recently by A.Uhlmann for pairs of finite dimensional density matrices will be extended to the vN-algebraic context and is considered and thoroughly discussed in detail from a mathematical point of view. Especially, in the case of semifinite vN-algebras formulae and estimates for the partial fidelity between the functionals of a dense cone of inner derived normal positive linear forms are obtained. Also, some generalities on the notion of fidelity in quantum physics are collected in an appendix, and another system of mathematical axioms for fidelity over density operators, which is based on the concept of relative majorization and which is intimately related to the concept of complete positivity, is proposed.

Affiliated with

Also associated with

No associations

Rating

Playing with Fidelities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Playing with Fidelities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Playing with Fidelities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-103415