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Separability in terms of a single entanglement witness
Stockholm University, Faculty of Science, Department of Physics.
2013 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 88, no 1, 010301- p.Article in journal (Refereed) Published
Abstract [en]

The separability problem is formulated in terms of a characterization of a single entanglement witness. More specifically, we show that any (in general multipartite) state rho is separable if and only if a specially constructed entanglement witness W-rho is weakly optimal, i.e., its expectation value vanishes on at least one product vector. Interestingly, the witness can always be chosen to be decomposable. Our result changes the conceptual aspect of the separability problem and raises some questions about the properties of positive maps.

Place, publisher, year, edition, pages
2013. Vol. 88, no 1, 010301- p.
National Category
Physical Sciences
URN: urn:nbn:se:su:diva-92629DOI: 10.1103/PhysRevA.88.010301ISI: 000321269300001OAI: diva2:641750


Available from: 2013-08-19 Created: 2013-08-14 Last updated: 2013-08-19Bibliographically approved

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Badziag, Piotr
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