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Economical Phase-Covariant Cloning of Qudits

Francesco Buscemi, Giacomo Mauro D'Ariano, Chiara Macchiavello

quant-pharXiv:quant-ph/0407103

Abstract

We derive the optimal N to M phase-covariant quantum cloning for equatorial states in dimension d with M=kd+N, k integer. The cloning maps are optimal for both global and single-qudit fidelity. The map is achieved by an ``economical'' cloning machine, which works without ancilla.

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