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arxiv: quant-ph/9909037 · v2 · submitted 1999-09-11 · 🪐 quant-ph

Universal cloning of continuous quantum variables

classification 🪐 quant-ph
keywords cloningquantumvariablescontinuouscopiesstatesuniversalanalyzed
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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.

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