Are all maximally entangled states pure?

Journal Article · Sat Oct 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.040303· OSTI ID:20718663

Cavalcanti, D; Brandao, F G.S.L.; Terra Cunha, M O ^[1]

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1. Departamento de Fisica, Caixa Postal 702, Universidade Federal de Minas Gerais, 30123-970 Belo Horizonte, Minas Gerais (Brazil)

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.

• OSTI ID: 20718663
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 72; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

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