Purification and correlated measurements of bipartite mixed states

Abstract

We prove that all purifications of a non-factorable state (i.e., the state which cannot be expressed in a form ${\rho }_{AB}={\rho }_A\otimes {\rho }_B$) are entangled. We also show that for any bipartite state there exists a pair of measurements which are correlated on this state if and only if the state is non-factorable.

4 revtex pages, to appear in Phys. Rev. A

References in corpus (1)

• Entanglement swapping between multi-qudit systems

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