The characterization of Gaussian operations and Distillation of Gaussian States

Details The characterization of Gaussian operations and Distillation of Gaussian States The characterization of Gaussian operations and Distillation of Gaussian States

2002-04-16

arxiv.org/abs/quant-ph/0204085v4

Phys. Rev. A 66, 032316 (2002)

Physics

Quantum Physics

8 pages, revtex4; v4: published version; v3: more details on V(gamma), some typos corrected, formulations clarified

Scientific paper

10.1103/PhysRevA.66.032316

We characterize the class of all physical operations that transform Gaussian states to Gaussian states. We show that this class coincides with that of all operations which can be performed on Gaussian states using linear optical elements and homodyne measurements. For bipartite systems we characterize the processes which can be implemented by local operations and classical communication, as well as those that can be implemented using positive partial transpose preserving maps. As an application, we show that Gaussian states cannot be distilled by local Gaussian operations and classical communication. We also define and characterize positive (but not completely positive) Gaussian maps.

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