Entanglement criteria via concave-function uncertainty relations
Source: Phys. Rev. A 82, 012335 (2010); doi:10.1103/PhysRevA.82.012335
Published 29 July 2010
A general theorem as a necessary condition for the separability of quantum states in both finite and infinite dimensional systems, based on concave-function uncertainty relations, is derived. Two special cases of the general theorem are stronger than two known entanglement criteria based on the Shannon entropic uncertainty relation and the Landau-Pollak uncertainty relation, respectively; other special cases are able to detect entanglement where some famous entanglement criteria fail.
©2010 The American Physical Society
| History: | Received 4 October 2009; published 29 July 2010 |
| Permalink: |
http://link.aps.org/abstract/PRA/v82/e012335 |
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