Optimal cloning with respect to the relative error

Details Optimal cloning with respect to the relative error Optimal cloning with respect to the relative error

2009-06-30

arxiv.org/abs/0906.5494v2

Physics

Quantum Physics

9 pages, 2 figures, 1 table. Major changes. New section in which different criteria are compared is added. The bibliography is

Scientific paper

The relative error of cloning of quantum states with arbitrary prior probabilities is considered. It is assumed that the ancilla may contain some a priori information about the input state to be cloned. The lower bound on the relative error for general cloning scenario is derived. Both the case of two-state set and case of multi-state set are analyzed in details. The treated figure of merit is compared with other optimality criteria. The quantum circuit for optimal cloning of a pair of pure states is constructed.

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