All inseparable two-mode Gaussian continuous variable states are distillable

Abstract

We show that all entangled Gaussian states of two infinite dimensional systems can be distilled to maximally entangled states in finite dimensions. The distillation protocol involves local squeezing operations, local homodyne measurements with ancilla systems prepared in coherent states as well as local joint measurements of the total number operator of two copies of the state.

4 pages, revtex4; minor changes: typo in eq. (8) corrected, some formulations changed, references added