Multipartite asymmetric quantum cloning

S. Iblisdir, A. Acín, N. J. Cerf, R. Filip, J. Fiurášek, and N. Gisin
Phys. Rev. A 72, 042328 – Published 26 October 2005

Abstract

We investigate the optimal distribution of quantum information over multipartite systems in asymmetric settings. We introduce cloning transformations that take N identical replicas of a pure state in any dimension as input and yield a collection of clones with nonidentical fidelities. As an example, if the clones are partitioned into a set of MA clones with fidelity FA and another set of MB clones with fidelity FB, the trade-off between these fidelities is analyzed, and particular cases of optimal NMA+MB cloning machines are exhibited. We also present an optimal 11+1+1 cloning machine, which is an example of a tripartite fully asymmetric cloner. Finally, it is shown how these cloning machines can be optically realized.

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  • Received 13 December 2004

DOI:https://doi.org/10.1103/PhysRevA.72.042328

©2005 American Physical Society

Authors & Affiliations

S. Iblisdir1, A. Acín2, N. J. Cerf3, R. Filip4, J. Fiurášek3,4, and N. Gisin1

  • 1GAP-Optique, University of Geneva, 20 rue de l’Ecole-de-Médecine, CH-1211, Switzerland
  • 2ICFO-Institut de Ciències Fotòniques, Jordi Girona 29, 08034 Barcelona, Spain
  • 3QUIC, Ecole Polytechnique, CP 165, Université Libre de Bruxelles, 1050 Brussels, Belgium
  • 4Department of Optics, Palacký University, 17. listopadu 50, 77200 Olomouc, Czech Republic

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Vol. 72, Iss. 4 — October 2005

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