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Strategies and networks for state-dependent quantum cloning

Chefles, Anthony and Barnett, Stephen M. (1999) Strategies and networks for state-dependent quantum cloning. Physical Review A, 60 (1). pp. 136-144. ISSN 1094-1622

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Abstract

State-dependent cloning machines that have so far been considered either deterministically copy a set of states approximately or probablistically copy them exactly. In considering the case of two equiprobable pure states, we derive the maximum global fidelity of N approximate clones given M initial exact copies, where N>M. We also consider strategies that interpolate between approximate and exact cloning. A tight inequality is obtained that expresses a trade-off between the global fidelity and success probability. This inequality is found to tend, in the limit N → ∞, to a known inequality that expresses the trade-off between error and inconclusive result probabilities for state-discrimination measurements. Quantum-computational networks are also constructed for the kinds of cloning machine we describe. For this purpose, we introduce two gates: the distinguishability transfer and state separation gates. Their key properties are described and we show how they may be decomposed into basic operations.

Item type: Article
ID code: 5859
Keywords: quantum cloning, quantum physics, optics, Optics. Light, Atomic and Molecular Physics, and Optics
Subjects: Science > Physics > Optics. Light
Department: Unknown Department
Faculty of Science > Physics
Depositing user: Miss Darcy Spiller
Date deposited: 30 Apr 2008
Last modified: 25 Jan 2019 03:04
Related URLs:
URI: https://strathprints.strath.ac.uk/id/eprint/5859
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