corner
corner

Phys. Rev. A 68, 034307 (2003) [4 pages]

Bound entangled states violate a nonsymmetric local uncertainty relation

Download: PDF (42 kB) Buy this article Export: BibTeX or EndNote (RIS)

Holger F. Hofmann*
PRESTO, Japan Science and Technology Corporation (JST), Research Institute for Electronic Science, Hokkaido University, Kita-12 Nishi-6, Kita-ku, Sapporo 060-0812, Japan

Received 29 April 2003; published 22 September 2003

As a consequence of having a positive partial transpose, bound entangled states lack many of the properties otherwise associated with entanglement. It is therefore interesting to identify properties that distinguish bound entangled states from separable states. In this paper, it is shown that some bound entangled states violate a nonsymmetric class of local uncertainty relations [H. F. Hofmann and S. Takeuchi, Phys. Rev. A 68, 032103 (2003)]. This result indicates that the asymmetry of nonclassical correlations may be a characteristic feature of bound entanglement.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.034307
DOI:
10.1103/PhysRevA.68.034307
PACS:
03.67.Mn, 03.65.Ud

*Electronic address: h.hofmann@osa.org