Information complementarity in multipartite quantum states and security in cryptography

Abstract

We derive complementarity relations for arbitrary quantum states of multiparty systems, of arbitrary number of parties and dimensions, between the purity of a part of the system and several correlation quantities, including entanglement and other quantum correlations as well as classical and total correlations, of that part with the remainder of the system. We subsequently use such a complementarity relation, between purity and quantum mutual information in the tripartite scenario, to provide a bound on the secret key rate for individual attacks on a quantum key distribution protocol.

7 pages, 3 figures, 1 table; v2: table updated, implications unchanged

References in corpus (19)

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• Monogamy inequality for distributed Gaussian entanglement
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• Hiding Quantum Data
• Classification and monogamy of three-qubit biseparable Bell correlations

Cited by in corpus (6)

• Quantum discord and its allies: a review
• Monogamy of quantum correlations - a review
• Relations between entanglement and purity in non-Markovian dynamics
• Lower bounds on violation of monogamy inequality for quantum correlation measures
• Multipartite quantum cryptography based on the violation of Svetlichny's inequality
• On the structure of mirrored operators obtained from optimal entanglement witnesses