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Designing the optimal quantum cloning machine for qubit case

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Abstract

According to the Fiurás̆ek’s optimal condition, where the average fidelity works as the figure of merit of quantum cloning machines (QCMs), the optimal cloning machine should maximize a convex mixture of the average fidelity. Based on this condition, we shall develop a general protocol of designing optimal QCMs for qubit system. With a series of examples, where the known optimal fidelities introduced in previous works are recovered with present scheme, we show that our protocol represents a general solution for the problem of cloning in qubit case. The unitary transformations for realizing the various kinds of optimal QCMS, are also given in a systematic way.

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Authors and Affiliations

  1. Department of Physics, Sichuan University, Chengdu, 610064, China

    Fei Wu & Xiaohua Wu

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  1. Fei Wu
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  2. Xiaohua Wu
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Correspondence to Xiaohua Wu.

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Wu, F., Wu, X. Designing the optimal quantum cloning machine for qubit case. Quantum Inf Process 11, 1–21 (2012). https://doi.org/10.1007/s11128-011-0226-1

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  • DOI: https://doi.org/10.1007/s11128-011-0226-1

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