Volume of Separable States for Arbitrary $N$-dimensional System
Quantum Physics
2008-10-14 v1
Abstract
In a celebrated paper ([Phys. Rev. A 58, 883 (1998)]), K. Zyczkowski, P. Horodecki, A. Sanpera,and M. Lewenstein proved for the frst time a very interesting theorem that the volume of separable quantum states is nonzero. Inspired by their ideas, we obtain a general analytical lower bound of the volume of separable states (VOSS) for arbitrary N-dimensional system. Our results give quite simple and computable suffcient conditions for separability. Moreover, for bipartite system, an upper bound of the VOSS is also presented.
Cite
@article{arxiv.0810.2020,
title = {Volume of Separable States for Arbitrary $N$-dimensional System},
author = {Dong-Ling Deng and Jing-Ling Chen},
journal= {arXiv preprint arXiv:0810.2020},
year = {2008}
}
Comments
3 pages