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Phys. Rev. A 78, 020304(R) (2008) [4 pages]

Separable operations on pure states

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Vlad Gheorghiu* and Robert B. Griffiths
Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA

Received 21 July 2008; published 29 August 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.020304
DOI:
10.1103/PhysRevA.78.020304
PACS:
03.67.Mn

*vgheorgh@andrew.cmu.edu