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Covariance matrices and the separability problem.

Authors :
Gühne O
Hyllus P
Gittsovich O
Eisert J
Source :
Physical review letters [Phys Rev Lett] 2007 Sep 28; Vol. 99 (13), pp. 130504. Date of Electronic Publication: 2007 Sep 28.
Publication Year :
2007

Abstract

We propose a unifying approach to the separability problem using covariance matrices of locally measurable observables. From a practical point of view, our approach leads to strong entanglement criteria that allow us to detect the entanglement of many bound entangled states in higher dimensions and which are at the same time necessary and sufficient for two qubits. From a fundamental perspective, our approach leads to insights into the relations between several known entanglement criteria--such as the computable cross-norm and local uncertainty criteria--as well as their limitations.

Details

Language :
English
ISSN :
0031-9007
Volume :
99
Issue :
13
Database :
MEDLINE
Journal :
Physical review letters
Publication Type :
Academic Journal
Accession number :
17930568
Full Text :
https://doi.org/10.1103/PhysRevLett.99.130504