When quantum channel preserves product states
Quantum Physics
2015-05-12 v1 Mathematical Physics
math.MP
Abstract
Product states are always considered as the states that don't contain quantum correlation. We discuss here when a quantum channel sends the product states to themselves. The exact forms of such channels are proposed. It is shown that such a quantum channel is a local quantum channel, a composition of a local quantum channel and a flip operation, or such that one of the local states is fixed. Both finite- and infinite-dimensional systems are considered.
Cite
@article{arxiv.1409.5994,
title = {When quantum channel preserves product states},
author = {Yu Guo and Zhaofang Bai and Shuanping Du and Xiulan Li},
journal= {arXiv preprint arXiv:1409.5994},
year = {2015}
}
Comments
4 pages