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Entanglement of Formation for Symmetric Gaussian States

G. GiedkeInstitut für Quantenelektronik, ETH Zürich, Wolfgang-Pauli-Straße, CH-8093 Zürich, SwitzerlandMichael M. WolfInstitut für Mathematische Physik, Mendelsohnstrasse 3, D-38106 Braunschweig, GermanyO. KrügerInstitut für Mathematische Physik, Mendelsohnstrasse 3, D-38106 Braunschweig, GermanyReinhard F. WernerInstitut für Mathematische Physik, Mendelsohnstrasse 3, D-38106 Braunschweig, GermanyJ. I. CiracMax-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, Garching, D-85748, Germany
2003en
ABI

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We show that for a fixed amount of entanglement, two-mode squeezed states are those that maximize Einstein-Podolsky-Rosen--like correlations. We use this fact to determine the entanglement of formation for all symmetric Gaussian states corresponding to two modes. This is the first instance in which this measure has been determined for genuine continuous variable systems.

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