Pauli Cloning of a Quantum Bit

1998/03/30 by Nicolas J. Cerf · 6 citations
Computer Science · Mathematics · Physics and Astronomy · #Cloning (programming) #Combinatorics #Computer science #Mathematics #Pauli exclusion principle #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum channel #Quantum cloning #Quantum information #Quantum mechanics #Quantum-Dot Cellular Automata #Topology (electrical circuits) #quant-ph

paper · pdf · doi:10.1103/physrevlett.84.4497

published as Phys.Rev.Lett. 84 (2000) 4497 · 5 pages RevTeX, 3 Postscript figures

arxiv created 1998/03/30 · openalex publication_date 2000/05/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A family of asymmetric quantum cloning machines is introduced that produce two approximate copies of a single quantum bit, each copy emerging from a Pauli channel. A no-cloning inequality is derived, describing the balance between the quality of the copies. The Pauli cloning machine is also shown to put a limit on the quantum capacity of Pauli channels.

Citations

• A single quantum cannot be cloned
• Communication by EPR devices
• Quantum copying: Beyond the no-cloning theorem

Cited by

• Optimal multicopy asymmetric Gaussian cloning of coherent states
• Projecting onto any two-photon polarization state using linear optics
• Optimal copying of entangled two-qubit states
• Security of Quantum Key Distribution Usingd-Level Systems
• Distributed quantum dense coding with two receivers in noisy environments
• Optimal Cloning of Coherent States with a Linear Amplifier and Beam Splitters