Collective Uncertainty Entanglement Test

Łukasz Rudnicki; Paweł Horodecki; Karol Życzkowski

Collective Uncertainty Entanglement Test

Abstract

For a given pure state of a composite quantum system we analyze the product of its projections onto aset of locally orthogonal separable pure states. We derive a bound for this product analogous to theentropic uncertainty relations. For bipartite systems the bound is saturated for maximally entangled statesand it allows us to construct a family of entanglement measures, we shall call collectibility. As thesequantities are experimentally accessible, the approach advocated contributes to the task of experimentalquantification of quantum entanglement, while for a three-qubit system it is capable to identify thegenuine three-party entanglement.

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: PHYSICAL REVIEW LETTERS no. 107,
ISSN: 0031-9007
Language:: English
Publication year:: 2011
Bibliographic description:: Rudnicki Ł., Horodecki P., Życzkowski K.: Collective Uncertainty Entanglement Test// PHYSICAL REVIEW LETTERS. -Vol. 107, nr. iss. 15 (2011),
Verified by:: Gdańsk University of Technology