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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 M₀ clones with fidelity F^A and another set of M₁ clones with fidelity F^B, the trade-off between these fidelities is analyzed, and particular cases of optimal NM₀+M₁ 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.
Iblisdir et al. (Wed,) studied this question.