Optimal N-to-M Cloning of Quantum Coherent States

Details Optimal N-to-M Cloning of Quantum Coherent States Optimal N-to-M Cloning of Quantum Coherent States

2000-05-12

arxiv.org/abs/quant-ph/0005044v1

Phys. Rev. A 62 (2000) 040301

Physics

Quantum Physics

3 pages, RevTex

Scientific paper

10.1103/PhysRevA.62.040301

The cloning of continuous quantum variables is analyzed based on the concept of Gaussian cloning machines, i.e., transformations that yield copies that are Gaussian mixtures centered on the state to be copied. The optimality of Gaussian cloning machines that transform N identical input states into M output states is investigated, and bounds on the fidelity of the process are derived via a connection with quantum estimation theory. In particular, the optimal N-to-M cloning fidelity for coherent states is found to be equal to MN/(MN+M-N).

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