Volume of Separable States for Arbitrary $N$-dimensional System

Details Volume of Separable States for Arbitrary $N$-dimensional System Volume of Separable States for Arbitrary $N$-dimensional System

2008-10-11

arxiv.org/abs/0810.2020v1

Physics

Quantum Physics

3 pages

Scientific paper

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.

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