Physics – Quantum Physics
Scientific paper
2006-07-27
Quantum Inf. Comput. 7, 624 (2007)
Physics
Quantum Physics
17 pages, no figures; Section 4.2 improved; final version: minor changes, added references, to appear in QIC
Scientific paper
We study the separability of bipartite quantum systems in arbitrary dimensions using the Bloch representation of their density matrix. This approach enables us to find an alternative characterization of the separability problem, from which we derive a necessary condition and sufficient conditions for separability. For a certain class of states the necessary condition and a sufficient condition turn out to be equivalent, therefore yielding a necessary and sufficient condition. The proofs of the sufficient conditions are constructive, thus providing decompositions in pure product states for the states that satisfy them. We provide examples that show the ability of these conditions to detect entanglement. In particular, the necessary condition is proved to be strong enough to detect bound entangled states.
de Vicente Julio I.
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