Abstract
We consider quantum devices for turning a finite number N of d-level
quantum systems in the same unknown pure state into M>N
systems of the same kind, in an approximation of the M-fold tensor
product of the state \sigma. In a previous paper it was shown that this
problem has a unique optimal solution, when the quality of the output is
judged by arbitrary measurements, involving also the correlations
between the clones. We show in this paper, that if the quality judgement
is based solely on measurements of single output clones, there is again
a unique optimal cloning device, which coincides with the one found
previously.
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