When a measure of quantum correlation is polygamous

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Abstract

We present here an approach of characterizing polygamy of quantum correlations without the traditional polygamy inequalities. It can induce the standard polygamy inequalities for any continuous measure of quantum correlation with the polygamy power. We show that any faithful entanglement measure is not polygamous and any entanglement of assistance is polygamous but not monogamous.

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Introducing Quantum Discord

David Hedin, Gerald Blazey, Arnaud Duperrin … (2013)

Two classically identical expressions for the mutual information generally differ when the two systems involved are quantum. We investigate this difference -- quantum discord -- and show that it can be used as a criterion for the classicality of the correlations. We also show that quantum discord can be used for describing the selection of the preferred, effectively classical, pointer states.

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Distributed Entanglement

Valerie Coffman, Joydip Kundu, William Wootters (1999)

Consider three qubits A, B, and C which may be entangled with each other. We show that there is a trade-off between A's entanglement with B and its entanglement with C. This relation is expressed in terms of a measure of entanglement called the "tangle," which is related to the entanglement of formation. Specifically, we show that the tangle between A and B, plus the tangle between A and C, cannot be greater than the tangle between A and the pair BC. This inequality is as strong as it could be, in the sense that for any values of the tangles satisfying the corresponding equality, one can find a quantum state consistent with those values. Further exploration of this result leads to a definition of the "three-way tangle" of the system, which is invariant under permutations of the qubits.