Entanglement monotones

Abstract

In the context of quantifying entanglement we study those functions of a multipartite state which do not increase under the set of local transformations. A mathematical characterization of these monotone magnitudes is presented. They are then related to optimal strategies of conversion of shared states. More detailed results are presented for pure states of bipartite systems. It is show that more than one measure are required simultaneously in order to quantify completely the non-local resources contained in a bipartite pure state, while examining how this fact does not hold in the so-called asymptotic limit. Finally, monotonicity under local transformations is proposed as the only natural requirement for measures of entanglement.

Revtex, 13 pages, no figures. Previous title: "On the characterization of entanglement". Major changes in notation and structure. Some new results, comments and references have been added

References in corpus (4)

• Robustness of entanglement
• Entanglement of pure states for a single copy
• Minimal conditions for local pure-state entanglement manipulation
• Optimal Entanglement Enhancement for Mixed States

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