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Postulates for measures of genuine multipartite correlations

Abstract

A lot of research has been done on multipartite correlations. However, it seems strange thatthere is no de nition of so called genuine multipartite correlations. In this paper we propose threereasonable postulates which each measure or indicator of genuine multipartite correlations (or gen-uine multipartite entanglement) should satisfy. We also introduce degree of correlations which givespartial characterization of multipartite correlations. Then, we show that covariance does not satisfytwo postulates and hence, it cannot be used as an indicator of genuine multipartite correlations.Finally, we propose candidate for a measure of genuine multipartite correlations based on the workthat can be drawn from local bath by means of a multipartite state.

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Copyright (2011 American Physical Society)

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
PHYSICAL REVIEW A no. 83,
ISSN: 2469-9926
Language:
English
Publication year:
2011
Bibliographic description:
Bennett C., Grudka A., Horodecki M., Horodecki P., Horodecki R.: Postulates for measures of genuine multipartite correlations// PHYSICAL REVIEW A. -Vol. 83, nr. iss. 1 (2011),
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Gdańsk University of Technology

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