Highly asymmetric quantum cloning in arbitrary dimension

Authors:
Jaromír Fiurášek;Radim Filip;Nicolas J. Cerf
Affiliations:
QUIC, École Polytechnique, CP 165, Université Libre de Bruxelles, Bruxelles, Belgium and Department of Optics, Palacký University, Olomouc, Czech Republi;Department of Optics, Palacký University, Olomouc, Czech Republi;QUIC, École Polytechnique, CP 165, Université Libre de Bruxelles, Bruxelles, Belgium
Venue:
Quantum Information & Computation
Year:
2005

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Abstract

We investigate the universal asymmetric cloning of states in a Hilbert space of arbitrary dimension. We derive the class of optimal and fully asymmetric 1 → 3 cloners, which produce three copies, each having a different fidelity. A simple parametric expression for the maximum achievable cloning fidelity triplets is then provided. As a side-product, we also prove the optimality of the 1 → 2 asymmetric cloning machines that have been proposed in the literature.