Optimal Cloning of Unitary Transformation
Giulio Chiribella, Giacomo Mauro D’Ariano, Paolo Perinotti · Physical Review Letters · 2008
After proving a general no-cloning theorem for black boxes, we derive the optimal universal cloning of unitary transformations, from one to two copies. The optimal cloner is realized by quantum channels with memory, and greatly outperforms the optimal measure-and-reprepare cloning strategy. Applications are outlined, including two-way quantum cryptographic protocols.