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APS » Journals » Phys. Rev. Lett. » Volume 85 » Issue 8
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Phys. Rev. Lett. 85, 1754–1757 (2000)

Cloning of Continuous Quantum Variables

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N. J. Cerf1,2, 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

Received 11 October 1999; published in the issue dated 21 August 2000

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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.1754
DOI:
10.1103/PhysRevLett.85.1754
PACS:
03.67.-a, 03.65.Bz, 42.50.-p, 89.70.+c
 
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