Monogamy of correlations for broadcast copies of entangled states

M. Piani, M. Christandl, P. Horodecki, C. E. Mora

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Abstract

By combining a measure of total correlations, mutual information, and the notion of broadcast-i.e. generally non-factorized-copies of states of distributed systems, we are able to characterize in a single framework different levels of quantumness of correlations, corresponding to the classification of strictly classical, separable, and entangled states. We find that the broadcast regularization of mutual information-defined as the minimal per-copy mutual information between parties, when they share an infinite amount of broadcast copies-besides having by construction an appealing interpretation, satisfies many of the properties of an entanglement measure. In particular, it vanishes for separable states while it is strictly positive for all entangled states. The latter fact may be considered a signature of monogamy of entangled correlations.
LanguageEnglish
Title of host publicationQuantum Communication, Measurement and Computing (QCMC)
Subtitle of host publicationNinth International Conference on QCMC
EditorsAlexander Lvovksy
Place of PublicationMelville, N.Y.
Pages71-74
Number of pages4
Volume1110
DOIs
Publication statusPublished - May 2009

Publication series

NameAIP Conference Proceedings

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Piani, M., Christandl, M., Horodecki, P., & Mora, C. E. (2009). Monogamy of correlations for broadcast copies of entangled states. In A. Lvovksy (Ed.), Quantum Communication, Measurement and Computing (QCMC): Ninth International Conference on QCMC (Vol. 1110, pp. 71-74). (AIP Conference Proceedings). Melville, N.Y.. https://doi.org/10.1063/1.3131379
Piani, M. ; Christandl, M. ; Horodecki, P. ; Mora, C. E. / Monogamy of correlations for broadcast copies of entangled states. Quantum Communication, Measurement and Computing (QCMC): Ninth International Conference on QCMC. editor / Alexander Lvovksy. Vol. 1110 Melville, N.Y., 2009. pp. 71-74 (AIP Conference Proceedings).
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Piani, M, Christandl, M, Horodecki, P & Mora, CE 2009, Monogamy of correlations for broadcast copies of entangled states. in A Lvovksy (ed.), Quantum Communication, Measurement and Computing (QCMC): Ninth International Conference on QCMC. vol. 1110, AIP Conference Proceedings, Melville, N.Y., pp. 71-74. https://doi.org/10.1063/1.3131379

Monogamy of correlations for broadcast copies of entangled states. / Piani, M.; Christandl, M.; Horodecki, P.; Mora, C. E.

Quantum Communication, Measurement and Computing (QCMC): Ninth International Conference on QCMC. ed. / Alexander Lvovksy. Vol. 1110 Melville, N.Y., 2009. p. 71-74 (AIP Conference Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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AB - By combining a measure of total correlations, mutual information, and the notion of broadcast-i.e. generally non-factorized-copies of states of distributed systems, we are able to characterize in a single framework different levels of quantumness of correlations, corresponding to the classification of strictly classical, separable, and entangled states. We find that the broadcast regularization of mutual information-defined as the minimal per-copy mutual information between parties, when they share an infinite amount of broadcast copies-besides having by construction an appealing interpretation, satisfies many of the properties of an entanglement measure. In particular, it vanishes for separable states while it is strictly positive for all entangled states. The latter fact may be considered a signature of monogamy of entangled correlations.

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Piani M, Christandl M, Horodecki P, Mora CE. Monogamy of correlations for broadcast copies of entangled states. In Lvovksy A, editor, Quantum Communication, Measurement and Computing (QCMC): Ninth International Conference on QCMC. Vol. 1110. Melville, N.Y. 2009. p. 71-74. (AIP Conference Proceedings). https://doi.org/10.1063/1.3131379