corner
corner

Phys. Rev. A 75, 062317 (2007) [6 pages]

Bipartite entanglement measure based on covariance

Download: PDF (103 kB) Buy this article Export: BibTeX or EndNote (RIS)

Isabel Sainz Abascal and Gunnar Björk
School of Information and Communication Technology, Royal Institute of Technology (KTH), Electrum 229, SE-164 40 Kista, Sweden

Received 5 March 2007; published 14 June 2007

We propose an entanglement measure for two quNits based on the covariances of a set of generators of the su(N) algebra. In particular, we represent this measure in terms of the mutually unbiased projectors for N prime. For pure states this measure quantifies entanglement, we obtain an explicit expression which relates it to the concurrence hierarchy, specifically the I-concurrence and the three-concurrence. For mixed states we propose a separability criterion.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.75.062317
DOI:
10.1103/PhysRevA.75.062317
PACS:
03.67.Mn, 03.65.Ud