2000/05/12 by Nicolas J. Cerf, N. J. Cerf, S. Iblisdir · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Cloning (programming) #Combinatorics #Computer science #Fidelity #Gaussian #Gaussian process #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum cloning #Quantum information #Quantum mechanics #Quantum state #Telecommunications #quant-ph
paper · pdf · doi:10.1103/physreva.62.040301
published as Phys. Rev. A 62 (2000) 040301 · 3 pages, RevTex
arxiv created 2000/05/12 · openalex publication_date 2000/09/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The cloning of conjugate 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\ensuremath-N).