Cloning of Continuous Quantum Variables

N. J. Cerf; A. Ipe; X. Rottenberg

doi:10.1103/PhysRevLett.85.1754

Cloning of Continuous Quantum Variables

N. J. Cerf, A. Ipe, and X. Rottenberg

Phys. Rev. Lett. 85, 1754 – Published 21 August 2000

Abstract

The cloning of quantum variables with continuous spectra is analyzed. A Gaussian quantum cloning machine is exhibited that copies equally well the states of two conjugate variables such as position and momentum. It also duplicates all coherent states with a fidelity of $2 / 3$ . More generally, the copies are shown to obey a no-cloning Heisenberg-like uncertainty relation.

Received 11 October 1999

DOI:https://doi.org/10.1103/PhysRevLett.85.1754

Authors & Affiliations

N. J. Cerf^1,2, A. Ipe¹, and X. Rottenberg¹

¹Ecole Polytechnique, CP 165, Université Libre de Bruxelles, 1050 Brussels, Belgium
²Information and Computing Technologies Research Section, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109