Separable states and positive maps

Abstract

Using the natural duality between linear functionals on tensor products of C*-algebras with the trace class operators on a Hilbert space H and linear maps of the C*-algebra into B(H), we study the relationship between separability, entanglement and the Peres condition of states and positivity properties of the linear maps.

9 pages

References in corpus (3)

• Separability criterion and inseparable mixed states with positive partial transposition
• Entangled states with positive partial transpose arising from indecomposable positive linear maps
• Construction of entangled states with positive partial transposes based on indecomposable positive linear maps