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arXiv · 1312.6640

Do Large Number of Parties Enforce Monogamy in All Quantum Correlations?

Asutosh Kumar·R. Prabhu·Aditi Sen De·Ujjwal Sen
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Abstract

Monogamy is a non-classical property that restricts the sharability of quantum correlation among the constituents of a multipartite quantum system. Quantum correlations may satisfy or violate monogamy for quantum states. Here we provide evidence that almost all pure quantum states of systems consisting of a large number of subsystems are monogamous with respect to all quantum correlation measures of both the entanglement-separability and the information-theoretic paradigms, indicating that the volume of the monogamous pure quantum states increases with an increasing number of parties. Nonetheless, we identify important classes of pure states that remain non-monogamous with respect to quantum discord and quantum work-deficit, irrespective of the number of qubits. We find conditions for which a given quantum correlation measure satisfies vis-à-vis violates monogamy.

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Asutosh Kumar, R. Prabhu, Aditi Sen De, Ujjwal Sen. 2014-01-14. Do Large Number of Parties Enforce Monogamy in All Quantum Correlations?. https://doi.org/10.1103/physreva.91.012341

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