Designing the optimal quantum cloning machine for qubit case

  • Authors:
  • Fei Wu;Xiaohua Wu

  • Affiliations:
  • Department of Physics, Sichuan University, Chengdu, China 610064;Department of Physics, Sichuan University, Chengdu, China 610064

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2012

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Abstract

According to the Fiurás驴ek'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.