Local hypothesis testing between a pure bipartite state and the white noise state
Quantum Physics
2020-10-06 v1
Abstract
In this paper, we treat a local discrimination problem in the framework of asymmetric hypothesis testing. We choose a known bipartite pure state as an alternative hypothesis, and the completely mixed state as a null hypothesis. As a result, we analytically derive an optimal type 2 error and an optimal POVM for one-way LOCC POVM and Separable POVM. For two-way LOCC POVM, we study a family of simple three-step LOCC protocols, and show that the best protocol in this family has strictly better performance than any one-way LOCC protocol in all the cases where there may exist difference between two-way LOCC POVM and one-way LOCC POVM.
Keywords
Cite
@article{arxiv.1006.2744,
title = {Local hypothesis testing between a pure bipartite state and the white noise state},
author = {Masaki Owari and Masahito Hayashi},
journal= {arXiv preprint arXiv:1006.2744},
year = {2020}
}
Comments
18 pages, 4 figures