Are all maximally entangled states pure?

Details Are all maximally entangled states pure? Are all maximally entangled states pure?

2005-05-16

arxiv.org/abs/quant-ph/0505121v6

Phys. Rev. A 72, 040303(R) (2005)

Physics

Quantum Physics

5 pages, 1 figure. Proof of theorem 3 corrected e new results concerning the asymptotic regime included

Scientific paper

10.1103/PhysRevA.72.040303

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 monogamy of entanglement: we establish the \textit{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.

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