Isometries of quantum states
Operator Algebras
2009-11-07 v1 Functional Analysis
Quantum Physics
Abstract
This paper treats the isometries of metric spaces of quantum states. We consider two metrics on the set all quantum states, namely the Bures metric and the one which comes from the trace-norm. We describe all the corresponding (nonlinear) isometries and also present similar results concerning the space of all (non-normalized) density operators.
Keywords
Cite
@article{arxiv.math/0211221,
title = {Isometries of quantum states},
author = {Lajos Molnar and Werner Timmermann},
journal= {arXiv preprint arXiv:math/0211221},
year = {2009}
}
Comments
9 pages. To appear in J. Phys. A: Math. Gen