# Probabilistic Cloning and Identification of Linearly Independent Quantum States

@article{Duan1998ProbabilisticCA,
title={Probabilistic Cloning and Identification of Linearly Independent Quantum States},
author={Luming Duan and Guangcan Guo},
journal={Physical Review Letters},
year={1998},
volume={80},
pages={4999-5002}
}
• Published 27 April 1998
• Mathematics
• Physical Review Letters
We construct a probabilistic quantum cloning machine by a general unitary-reduction operation. With a postselection of the measurement results, the machine yields faithful copies of the input states. It is shown that the states secretly chosen from a certain set $\$=\left\{\left| \Psi_1\right> ,\left| \Psi_2\right> ,... ,\left| \Psi_n\right> \right\} $can be probabilistically cloned if and only if$% \left| \Psi_1\right>$,$\left| \Psi_2\right>$,$... ,$and$\left| \Psi_n\right>\$ are linearly…
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