We describe an optical scheme for optimal Gaussian n to m cloning of coherent states. The scheme, which generalizes a recently demonstrated scheme for 1 to 2 cloning, involves only linear optical components and homodyne detection.

Jan 1, 20064 citations

Optical quantum cloning

Nicolas J. Cerf, Jaromı́r Fiurášek

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arXiv:quant-ph/0610221 · Acta Physiologica Hungarica

Optimal Cloning of Coherent States by Linear Optics

Stefano Olivares, Matteo G.A. Paris, Ulrik L. Andersen

Published Nov 1, 2006• 6 citations

arXiv HTML PDF

DOI: 10.1556/aph.26.2006.3-4.9

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Optimal cloning of coherent states by linear optics

Olivares, S, Paris, M G A, Ulrik L. Andersen

Jan 1, 20064 citations

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Nicolas J. Cerf, Jaromı́r Fiurášek

Progress in opticsJan 1, 200658 citations

Optimal Gaussian

N

-to-

M

cloning with linear optics and Gaussian cloning of known-phase coherent states

We show how to implement the optimal Gaussian

N

-to-

M

cloning with linear optics and homodyne detection. We also show that the Gaussian

N

-to-

M

cloning of known-phase coherent states can be performed with the fidelity

\sqrt \frac{2 M N}{2M N+M -N}

by linear optics and homodyne detection, and with

\frac{2}{\sqrt{1+\frac{1}{N}}+\sqrt {1-\frac{1}{M}}}

by utilizing quadrature squeezing. From the classical limit of the cloning (1-to-

\infty

cloning), a necessary condition of continuous variable quantum key distribution using known-phase coherent states is provided.