Non-Gaussian Cloning of Quantum Coherent States is Optimal

N. J. Cerf, O. Krüger, P. Navez, R. F. Werner, and M. M. Wolf
Phys. Rev. Lett. 95, 070501 – Published 10 August 2005

Abstract

We consider the optimal cloning of quantum coherent states with single-clone and joint fidelity as figures of merit. While the latter is maximized by a Gaussian cloner, the former is not: the optimal single-clone fidelity for a symmetric 1-to-2 cloner is 0.6826, compared to 2/3 in a Gaussian setting. This cloner can be realized with an optical parametric amplifier and certain non-Gaussian bimodal states. Finally, we show that the single-clone fidelity of the optimal 1-to- cloner is 1/2. It is achieved by a Gaussian scheme and cannot be surpassed even with supplemental bound entangled states.

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  • Received 7 October 2004

DOI:https://doi.org/10.1103/PhysRevLett.95.070501

©2005 American Physical Society

Authors & Affiliations

N. J. Cerf1, O. Krüger2, P. Navez1, R. F. Werner2, and M. M. Wolf3

  • 1QUIC, Ecole Polytechnique, CP 165, Université Libre de Bruxelles, 1050 Brussels, Belgium
  • 2Institut für Mathematische Physik, Technische Universität Braunschweig, Mendelssohnstraße 3, 38106 Braunschweig, Germany
  • 3Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany

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Issue

Vol. 95, Iss. 7 — 12 August 2005

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