The relative entropy of entanglement of Schmidt correlated states and distillation

Abstract

We show that a mixed state $ρ=\sum_{mn}a_{mn}|m> < n|$ can be realized by an ensemble of pure states $\{p_{k}, |ϕ_{k} > \}$ where $|ϕ_{k}>=\sum_{m}\sqrt{a_{mm}}e^{iθ_{m}^{k}}|m>$. Employing this form, we discuss the relative entropy of entanglement of Schmidt correlated states. Also, we calculate the distillable entanglement of a class of mixed states.

7 pages, no figures, to appear in QIC