All maps equivalent to a given map, completely positive or not
Quantum Physics
2011-02-11 v2
Abstract
A dynamical map is a map which takes one density operator to another. Such a map can be written in an operator-sum representation (OSR) using a spectral decomposition. The method of the construction applies to more general maps which need not be completely positive. The OSR not unique; there is a freedom to choose the set of operators in the OSR differently, yet still obtain the same map. Here we identify all maps which are equivalent to a given map. Whereas the freedom for completely positive maps is unitary, the freedom for maps which are not necessarily completely positive is pseudo-unitary.
Cite
@article{arxiv.1004.0951,
title = {All maps equivalent to a given map, completely positive or not},
author = {Yong-Cheng Ou and Mark S. Byrd},
journal= {arXiv preprint arXiv:1004.0951},
year = {2011}
}