Characterization of Gaussian operations and distillation of Gaussian states

Géza Giedke and J. Ignacio Cirac
Phys. Rev. A 66, 032316 – Published 23 September 2002
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Abstract

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 that can be performed on Gaussian states using linear optical elements and homodyne measurements. For bipartite systems we characterize the processes that 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.

  • Received 19 April 2002

DOI:https://doi.org/10.1103/PhysRevA.66.032316

©2002 American Physical Society

Authors & Affiliations

Géza Giedke and J. Ignacio Cirac

  • Max-Planck–Institut für Quantenoptik, Hans-Kopfermann-Strasse, D-85748 Garching, Germany

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Vol. 66, Iss. 3 — September 2002

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