Publication:
Separability criteria based on the Bloch representation of density matrices

Thumbnail Image
Identifiers
URI: http://hdl.handle.net/10016/6756
ISSN: 1533-7146
Files
separability_vicente_qic_2007_ps.pdf (180.3 KB)
Publication date
2007-09-01
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
Rinton Press
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
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.
Description
15 pages, no figures.-- MSC2000 code: 81P68.
MR#: MR2347059 (2008h:81016)
Zbl#: Zbl 1152.81835
Keywords
Bloch representation, Entanglement, Bipartite quantum systems
Bibliographic citation
Quantum Information and Computation, 2007, vol. 7, n. 7, p. 624-638
Collections
DM - GAMA - Artículos de Revistas