Do Large Number of Parties Enforce Monogamy in All Quantum Correlations?
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-\`a-vis violates monogamy.
Keywords
Cite
@article{arxiv.1312.6640,
title = {Do Large Number of Parties Enforce Monogamy in All Quantum Correlations?},
author = {Asutosh Kumar and R. Prabhu and Aditi Sen De and Ujjwal Sen},
journal= {arXiv preprint arXiv:1312.6640},
year = {2015}
}
Comments
9 pages, 4 figs, RevTeX4.1; v2: slight changes in presentation, results unchanged