Separable Operations on Pure States

Abstract

We show that the possible ensembles produced when a separable operation acts on a single pure bipartite entangled state are completely characterized by a majorization condition, a collection of inequalities for Schmidt coefficients, which is identical to that already known for the particular case of local operations and classical communication (LOCC). As a consequence, various known results for LOCC, including some involving monotonicity of entanglement, can be extended to the class of all separable operations.

Typo corrected in the abstract

References in corpus (1)

• Entanglement transformations using separable operations

Cited by in corpus (1)

• Nonlocal Entanglement Transformations Achievable by Separable Operations