On the impossibility of distilling Gaussian states with Gaussian operations

Details On the impossibility of distilling Gaussian states with Gaussian operations On the impossibility of distilling Gaussian states with Gaussian operations

2002-04-10

arxiv.org/abs/quant-ph/0204052v4

Phys. Rev. Lett. 89, 137903 (2002)

Physics

Quantum Physics

4 pages, 1 colour figure. This paper is closely related to [J. Fiurasek, PRL 89, 137904 (2002), quant-ph/0204069] and to [G. G

Scientific paper

10.1103/PhysRevLett.89.137903

We show that no distillation protocol for Gaussian quantum states exists that relies on (i) arbitrary local unitary operations that preserve the Gaussian character of the state and (ii) homodyne detection together with classical communication and postprocessing by means of local Gaussian unitary operations on two symmetric identically prepared copies. This is in contrast to the finite-dimensional case, where entanglement can be distilled in an iterative protocol using two copies at a time. The ramifications for the distribution of Gaussian states over large distances will be outlined. We also comment on the generality of the approach and sketch the most general form of a Gaussian local operation with classical communication in a bipartite setting.

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