Economical phase-covariant cloning of qudits

Francesco Buscemi, Giacomo Mauro D’Ariano, Chiara Macchiavello · Physical Review A · 2005

We derive the optimal $N\ensuremath{\rightarrow}M$ 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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