Separable State Decompositions for a Class of Mixed States

Abstract

We study certain quantum states for which the PPT criterion is both sufficient and necessary for separability. A class of $n\times n$ bipartite mixed states is presented and the conditions of PPT for these states are derived. The separable pure state decompositions of these states are explicitly constructed when they are PPT.

9 pages

References in corpus (7)

• Separable states are more disordered globally than locally
• Some Properties of the Computable Cross Norm Criterion for Separability
• Covariance matrices and the separability problem
• The generalized partial transposition criterion for separability of multipartite quantum states
• Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion
• Separability of Rank Two Quantum States
• A Note on Quantum Entanglement and PPT