Conditions for Monogamy of Quantum Discord: Monogamous Greenberger-Horne-Zeilinger versus Polygamous W states

Physics – Quantum Physics

Scientific paper

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5 pages, 3 eps figures, RevTeX4; v2: results unchanged, figure-size reduced; v3: notations improved, typos corrected

Scientific paper

Quantum correlations are expected to respect all the conditions required for them to be good measures of quantumness in the bipartite scenario. In a multipartite setting, sharing entanglement between several parties is restricted by the monogamy of entanglement. We take over the concept of monogamy to an information-theoretic quantum correlation measure, and find that it violates monogamy in general. Using the notion of interaction information, we identify necessary and sufficient conditions for the measure to obey monogamy. We show that while three-qubit generalized Greenberger-Horne-Zeilinger states follow monogamy, generalized W states do not.

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