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}
}
  • L. Duan, G. Guo
  • 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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