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Phys. Rev. A 72, 042328 (2005) [4 pages]

Multipartite asymmetric quantum cloning

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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

Received 13 December 2004; published 26 October 2005

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 1→1+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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.042328
DOI:
10.1103/PhysRevA.72.042328
PACS:
03.67.−a, 03.65.−w, 42.50.Dv