Entanglement of Formation for Symmetric Gaussian States

G. Giedke, M. M. Wolf, O. Krüger, R. F. Werner, and J. I. Cirac
Phys. Rev. Lett. 91, 107901 – Published 3 September 2003

Abstract

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.

  • Received 20 May 2003

DOI:https://doi.org/10.1103/PhysRevLett.91.107901

©2003 American Physical Society

Authors & Affiliations

G. Giedke1,3, M. M. Wolf1,2, O. Krüger2, R. F. Werner2, and J. I. Cirac1

  • 1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, Garching, D-85748, Germany
  • 2Institut für Mathematische Physik, Mendelsohnstrasse 3, D-38106 Braunschweig, Germany
  • 3Institut für Quantenelektronik, ETH Zürich, Wolfgang-Pauli-Straße, CH-8093 Zürich, Switzerland

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Issue

Vol. 91, Iss. 10 — 5 September 2003

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