Physical transformations between quantum states
Mathematical Physics
2015-06-04 v2 math.MP
Abstract
Given two sets of quantum states {A_1, ..., A_k} and {B_1, ..., B_k}, represented as sets of density matrices, necessary and sufficient conditions are obtained for the existence of a physical transformation T, represented as a trace-preserving completely positive map, such that T(A_i) = B_i for i = 1, ..., k. General completely positive maps without the trace-preserving requirement, and unital completely positive maps transforming the states are also considered.
Cite
@article{arxiv.1203.5547,
title = {Physical transformations between quantum states},
author = {Zejun Huang and Chi-Kwong Li and Edward Poon and Nung-Sing Sze},
journal= {arXiv preprint arXiv:1203.5547},
year = {2015}
}