Fidelity preserving maps on density operators
Operator Algebras
2009-11-07 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
We prove that any bijective fidelity preserving transformation on the set of all density operators on a Hilbert space is implemented by an either unitary or antiunitary operator on the underlying Hilbert space.
Cite
@article{arxiv.math/0108060,
title = {Fidelity preserving maps on density operators},
author = {Lajos Molnar},
journal= {arXiv preprint arXiv:math/0108060},
year = {2009}
}
Comments
This is corrected version of the paper math.OA/0108060. The paper has already appeared in ROMP (vol. 48 (2001), 299-303)