2005/02/28 by Rafal Demkowicz-Dobrzanski, Rafał Demkowicz-Dobrzański, Maciej Lewenstein +5
Computer Science · Mathematics · Physics and Astronomy · #Cloning (programming) #Combinatorics #Computer science #Fidelity #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum cloning #Quantum entanglement #Quantum mechanics #Telecommunications #Teleportation #Topology (electrical circuits) #Transpose #quant-ph
paper · pdf · doi:10.1103/physreva.73.032313
published as Phys. Rev. A 73, 032313 (2006) · 6 pages, RevTeX4, 2 figures, published version
openalex publication_date 2006/03/15 · arxiv created 2006/03/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We solve the problem of the optimal cloning of pure entangled two-qubit states with a fixed degree of entanglement using local operations and classical communication. We show that, amazingly, classical communication between the parties can improve the fidelity of local cloning if and only if the initial entanglement is higher than a certain critical value. It is completely useless for weakly entangled states. We also show that bound entangled states with positive partial transpose are not useful as a resource to improve the best local cloning fidelity.