Universal Quantum Gates Via Yang-Baxterization of Dihedral Quantum Double

  • Mario Vélez
  • Juan Ospina
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4431)

Abstract

The recently discovered Yang-Baxterization process for the quantum double of the dihedral group algebra, is presented keeping on mind the quantum computation. The products resultant from Yang-Baxterization process are interpreted as universal quantum gates using the Bryslinski’s theorem. Results are obtained for two-qubits and two-qutrits gates. Using the Zhang-Kauffman-Ge method (ZKGM), certain Hamiltonians responsible for the quantum evolution of the quantum gates are obtained. Possible physical systems such as anyons systems are mentioned as referents for practical implementation.

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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Mario Vélez
    • 1
  • Juan Ospina
    • 1
  1. 1.Departamento de Ciencias Básicas, Universidad EAFIT, A.A. 3300, MedellínColombia

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