Optimal cloning for finite distributions of coherent states

2003/11/18 by P. T. Cochrane, Timothy C. Ralph, T. C. Ralph +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Classical limit #Cloning (programming) #Coherent states #Computer science #Gaussian #Limit (mathematics) #Mathematical analysis #Mathematics #Optics #Physics #Quadrature (astronomy) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum cloning #Quantum entanglement #Quantum mechanics #Statistical physics #Teleportation #quant-ph

paper · pdf · doi:10.1103/physreva.69.042313

15 pages RevTeX, 6 figures eps, submitted to PRA

arxiv created 2003/11/18 · openalex publication_date 2004/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We derive optimal cloning limits for finite Gaussian distributions of coherent states and describe techniques for achieving them. We discuss the relation of these limits to state estimation and the no-cloning limit in teleportation. A qualitatively different cloning limit is derived for a single-quadrature Gaussian quantum cloner.

Citations

• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• A Mathematical Theory of Communication
• A single quantum cannot be cloned
• Noncommuting Mixed States Cannot Be Broadcast
• Unconditional Quantum Teleportation
• Quantum copying: Beyond the no-cloning theorem
• Teleportation of Continuous Quantum Variables

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• Quantum secret sharing in tripartite superconducting network