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Are all maximally entangled states pure?

Cavalcanti, D. and Brandão, F. G. S. L. and Terra Cunha, M. O. (2005) Are all maximally entangled states pure? Physical Review A, 72 (4). Art. No. 040303. ISSN 1050-2947.

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We study if all maximally entangled states are pure through several entanglement monotones. In the bipartite case, we find that the same conditions which lead to the uniqueness of the entropy of entanglement as a measure of entanglement exclude the existence of maximally mixed entangled states. In the multipartite scenario, our conclusions allow us to generalize the idea of the monogamy of entanglement: we establish the polygamy of entanglement, expressing that if a general state is maximally entangled with respect to some kind of multipartite entanglement, then it is necessarily factorized of any other system.

Item Type:Article
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URLURL TypeDescription Paper
Brandão, F. G. S. L.0000-0003-3866-9378
Additional Information:© 2005 The American Physical Society. Received 16 May 2005; revised manuscript received 25 July 2005; published 28 October 2005. D.C. and F.G.S.L.B. acknowledge financial support from CNPq. The authors thank M.F. Santos for useful discussions.
Errata:Erratum: Are all maximally entangled states pure? [Phys. Rev. A 72, 040303 (2005)] D. Cavalcanti, F. G. S. L. Brandão, and M. O. Terra Cunha Phys. Rev. A 72, 069914
Funding AgencyGrant Number
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNSPECIFIED
Issue or Number:4
Classification Code:PACS: 03.67.Mn, 03.65.Ud
Record Number:CaltechAUTHORS:20160607-081812978
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Official Citation:Are all maximally entangled states pure? D. Cavalcanti, F. G. S. L. Brandão, and M. O. Terra Cunha Phys. Rev. A 72, 040303(R)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67711
Deposited By: Tony Diaz
Deposited On:07 Jun 2016 15:49
Last Modified:09 Mar 2020 13:18

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