Quantum, classical, and total amount of correlations in a quantum state

B Groisman, S Popescu, AJ Winter

Research output: Contribution to journalArticle (Academic Journal)peer-review

417 Citations (Scopus)

Abstract

We give an operational definition of the quantum, classical, and total amounts of correlations in a bipartite quantum state. We argue that these quantities can be defined via the amount of work (noise) that is required to erase (destroy) the correlations: for the total correlation, we have to erase completely, for the quantum correlation we have to erase until a separable state is obtained, and the classical correlation is the maximal correlation left after erasing the quantum correlations. In particular, we show that the total amount of correlations is equal to the quantum mutual information, thus providing it with a direct operational interpretation. As a by-product, we obtain a direct, operational, and elementary proof of strong subadditivity of quantum entropy.
Translated title of the contributionQuantum, classical, and total amount of correlations in a quantum state
Original languageEnglish
Article numberArt No 032317
JournalPhysical Review A: Atomic, Molecular and Optical Physics
Volume72 (3)
Publication statusPublished - Sep 2005

Bibliographical note

Publisher: American Physical Society
Other identifier: IDS number 969IR

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