On the continuity of asymptotic measures of entanglement

Abstract

We show that, in any open set of distillable states, all asymptotic entanglement measures $E(\rho )$ are continuous as a function of (a single copy of) $\rho$, even though they quantify the entanglement properties of ${\rho }^{\otimes N}$ is the large $N$ limit.

5 pages, 1 figure, revtex