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Genuine quantum and classical correlations in multipartite systems

2011/08/31 by Gian Luca Giorgi, Bruno Bellomo, Fernando Galve +1 · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physrevlett.107.190501

published as Physical Review Letters 107, 190501 (2011) · Accepted for publication in Phys. Rev. Lett

arxiv created 2011/10/07 · arxiv updated 2011/11/04

Abstract

Generalizing the quantifiers used to classify correlations in bipartite systems, we define genuine total, quantum, and classical correlations in multipartite systems. The measure we give is based on the use of relative entropy to quantify the "distance" between two density matrices. Moreover, we show that, for pure states of three qubits, both quantum and classical bipartite correlations obey a ladder ordering law fixed by two-body mutual informations, or, equivalently, by one-qubit entropies.

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