Optimal mirror phase-covariant cloning

Karol Bartkiewicz, Adam Miranowicz, and Şahin Kaya Özdemir
Phys. Rev. A 80, 032306 – Published 3 September 2009

Abstract

We propose a quantum cloning machine, which clones a qubit into two clones assuming known modulus of expectation value of Pauli σz matrix. The process is referred to as the mirror phase-covariant cloning for which the input state is a priori less known than that for the standard phase-covariant cloning. Analytical expressions describing the cloning transformation and fidelity of the clones are found. Extremal equations for the optimal cloning are derived and analytically solved by generalizing a method of Fiurášek [Phys. Rev. A 64, 062310 (2001)]. Quantum circuits implementing the optimal cloning transformation and their physical realization in a quantum-dot system are described.

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  • Received 31 May 2009

DOI:https://doi.org/10.1103/PhysRevA.80.032306

©2009 American Physical Society

Authors & Affiliations

Karol Bartkiewicz1, Adam Miranowicz1,2, and Şahin Kaya Özdemir2,3

  • 1Faculty of Physics, Adam Mickiewicz University, 61-614 Poznań, Poland
  • 2Graduate School of Engineering Science, Osaka University, Osaka 560-8531, Japan
  • 3Department of Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA

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Vol. 80, Iss. 3 — September 2009

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