Characterization of affine automorphisms and ortho-order automorphisms of quantum probabilistic maps
Mathematical Physics
2013-02-15 v1 math.MP
Quantum Physics
Abstract
In quantum mechanics, often it is important for the representation of quantum system to study the structure-preserving bijective maps of the quantum system. Such maps are also called isomorphisms or automorphisms. In this note, using the Uhlhorn-type of Wigner's theorem, we characterize all affine automorphisms and ortho-order automorphisms of quantum probabilistic maps.
Keywords
Cite
@article{arxiv.1302.3356,
title = {Characterization of affine automorphisms and ortho-order automorphisms of quantum probabilistic maps},
author = {Zhaofang Bai and Shuanping Du},
journal= {arXiv preprint arXiv:1302.3356},
year = {2013}
}