A Remark on the Optimal Cloning of An N-Level Quantum System

Physics – Quantum Physics

Scientific paper

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8 pages, Latex

Scientific paper

10.1007/s100510051077

We study quantum cloning machines (QCM) that act on an unknown N-level
quantum state and make M copies. We give a formula for the maximum of the
fidelity of cloning and exhibit the unitary transformations that realize this
optimal fidelity. We also extend the results to treat the case of M copies from
$N^\prime$ ($M>N^\prime$) identical N-level quantum systems.

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