Universal cloning of continuous quantum variables
Quantum Physics
2009-10-31 v2
Abstract
The cloning of quantum variables with continuous spectra is analyzed. A universal - or 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.
Cite
@article{arxiv.quant-ph/9909037,
title = {Universal cloning of continuous quantum variables},
author = {N. J. Cerf and A. Ipe and X. Rottenberg},
journal= {arXiv preprint arXiv:quant-ph/9909037},
year = {2009}
}
Comments
4 pages, RevTex. Minor revisions, added explicit cloning transformation, added references