Non-distillable entanglement guarantees distillable entanglement

Details Non-distillable entanglement guarantees distillable entanglement Non-distillable entanglement guarantees distillable entanglement

2011-09-07

arxiv.org/abs/1109.1349v2

Physics

Quantum Physics

7 pages, 1 figure. Contribution to the celebration of the 60th birthday of Vladimir Korepin. The introduction of this paper is

Scientific paper

The monogamy of entanglement is one of the basic quantum mechanical features, which says that when two partners Alice and Bob are more entangled then either of them has to be less entangled with the third party. Here we qualitatively present the converse monogamy of entanglement: given a tripartite pure system and when Alice and Bob are entangled and non-distillable, then either of them is distillable with the third party. Our result leads to the classification of tripartite pure states based on bipartite reduced density operators, which is a novel and effective way to this long-standing problem compared to the means by stochastic local operations and classical communications. Furthermore we systematically indicate the structure of the classified states and generate them. We also extend our results to multipartite states.

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