Calculation of entanglement for continious variable states

Abstract

In this paper, we present a general formula for obtaining the reduced density opeator for any biparticle pure entangled state. Using this formula, we derive, in a compact form, the explicit formula of the entanglement for any bipartical pure entangled Gaussian state. In the case of Gaussian states, the criteria of separabelity can be naturely obtained by the formula. For non-Gaussian states, we also show the usefulness of the method presented in this paper.