Postulates for measures of genuine multipartite correlations

Details Postulates for measures of genuine multipartite correlations Postulates for measures of genuine multipartite correlations

2008-05-20

arxiv.org/abs/0805.3060v2

Phys. Rev. A 83, 012312 (2011)

Physics

Quantum Physics

Significantly extended version, an author added

Scientific paper

10.1103/PhysRevA.83.012312

A lot of research has been done on multipartite correlations. However, it seems strange that there is no definition of so called genuine multipartite correlations. In this paper we propose three reasonable postulates which each measure or indicator of genuine multipartite correlations (or genuine multipartite entanglement) should satisfy. We also introduce degree of correlations which gives partial characterization of multipartite correlations. Then, we show that covariance does not satisfy two 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 work that can be drawn from local bath by means of a multipartite state.

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