Optimal cloning with respect to the relative error

نویسنده

  • Alexey E. Rastegin
چکیده

The relative error of cloning of states with arbitrary prior probabilities is considered. It is assumed that ancilla may contain some a priori information about states 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. The made conclusions complete subject of the stronger no-cloning theorem. The quantum circuit for optimal cloning of pair of pure states is constructed. The general method based on simple geometrical picture is described. PACS: 03.67.-a, 03.65.Ta

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تاریخ انتشار 2009