Limits for entanglement measures

Details Limits for entanglement measures Limits for entanglement measures

1999-08-19

arxiv.org/abs/quant-ph/9908065v2

Phys. Rev. Lett. 84 (2000) 2014

Physics

Quantum Physics

4 pages, Revtex, typos corrected

Scientific paper

10.1103/PhysRevLett.84.2014

We show that {\it any} entanglement measure $E$ suitable for the regime of high number of entangled pairs satisfies $E_D\leq E\leq E_F$ where $E_D$ and $E_F$ are entanglement of distillation and formation respectively. We also exhibit a general theorem on bounds for distillable entanglement. The results are obtained by use of a very transparent reasoning based on the fundamental principle of entanglement theory saying that entanglement cannot increase under local operations and classical communication.

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