2006/10/24 by Jaromı́r Fiurášek, Jaromir Fiurasek, Nicolas J. Cerf
Computer Science · Physics and Astronomy · #Algorithm #Beam splitter #Cloning (programming) #Computer science #Gaussian #Laser #Optics #Physics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum cloning #Quantum entanglement #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #quant-ph
paper · pdf · doi:10.1103/physreva.75.052335
published as Phys. Rev. A 75, 052335 (2007). · 7 pages, 2 figures, RevTeX4
arxiv created 2006/10/24 · openalex publication_date 2007/05/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the asymmetric Gaussian cloning of coherent states which produces M copies from N input replicas in such a way that the fidelity of each copy may be different. We show that the optimal asymmetric Gaussian cloning can be performed with a single phase-insensitive amplifier and an array of beam splitters. We obtain a simple analytical expression characterizing the set of optimal asymmetric Gaussian cloning machines and prove the optimality of these cloners using the formalism of Gaussian completely positive maps and semidefinite programming techniques. We also present an alternative implementation of the asymmetric cloning machine where the phase-insensitive amplifier is replaced with a beam splitter, heterodyne detector, and feedforward.