The Relative Entropy of Entanglement of Schmidt Correlated States and Distillation

Abstract

We show that a mixed state ρ = ∑mnamn|m〉〈n| can be realized by an ensemble of pure states {pk, |pk〉} where |\phi_k\rangle\ = \sum_m \sqrt{a_mm} e^{i\theta^k_m}|m\rangle. 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. PACS: 03.67.-a; 03.65.Bz; 03.65.Ud