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Cloning of continuous quantum variables

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PHYSICAL REVIEW LETTERS
卷 85, 期 8, 页码 1754-1757

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.85.1754

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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.

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