Limits for entanglement measures
Abstract
We show that any entanglement measure E suitable for the regime of high number of entangled pairs satisfies ED≤ E≤ EF where ED and EF 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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