Canonical Form and Separability of PPT States in 2xMxN Composite Quantum Systems

Abstract

We investigate the canonical forms of positive partial transposition (PPT) density matrices in ${\mathcal{C}}^2\otimes {\mathcal{C}}^M\otimes {\mathcal{C}}^N$ composite quantum systems with rank $N$. A general expression for these PPT states are explicitly obtained. From this canonical form a sufficient separability condition is presented.

11 pages, Latex