Useful entanglement can be extracted from all nonseparable states

Details Useful entanglement can be extracted from all nonseparable states Useful entanglement can be extracted from all nonseparable states

2005-10-25

arxiv.org/abs/quant-ph/0510188v4

J. Math. Phys. 49, 022102 (2008)

Physics

Quantum Physics

7 pages

Scientific paper

10.1063/1.2837427

We consider entanglement distillation from a single-copy of a multipartite state, and instead of rates we analyze the "quality" of the distilled entanglement. This "quality" is quantified by the fidelity with the GHZ-state. We show that each not fully-separable state $\sigma$ can increase the "quality" of the entanglement distilled from other states, no matter how weakly entangled is $\sigma$. We also generalize this to the case where the goal is distilling states different than the GHZ. These results provide new insights on the geometry of the set of separable states and its dual (the set of entanglement witnesses).

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