English

Optimal cloning of unitary transformations

Quantum Physics 2009-04-14 v2

Abstract

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 greately outperforms the optimal measure-and-reprepare cloning strategy. Applications are outlined, including two-way quantum cryptographic protocols.

Keywords

Cite

@article{arxiv.0804.0129,
  title  = {Optimal cloning of unitary transformations},
  author = {G. Chiribella and G. M. D'Ariano and P. Perinotti},
  journal= {arXiv preprint arXiv:0804.0129},
  year   = {2009}
}

Comments

4 pages, 1 figure, published version

R2 v1 2026-06-21T10:26:31.699Z