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A remark on the optimal cloning of an N-level quantum system

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Abstract:

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 identical N-level quantum systems.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Bonn, 53115 Bonn, Fakultät für Mathematik, Ruhr-Universität Bochum, 44780 Bochum, Germany, Germany

    S. Albeverio & Shao-Ming Fei

  2. Institute of Physics, Chinese Academy of Science, Beijing, P.R. China, China

    Shao-Ming Fei

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  1. S. Albeverio
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  2. Shao-Ming Fei
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Received 21 September 1999

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Albeverio, S., Fei, SM. A remark on the optimal cloning of an N-level quantum system. Eur. Phys. J. B 14, 669–672 (2000). https://doi.org/10.1007/s100510051077

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  • DOI: https://doi.org/10.1007/s100510051077

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