Universal Quantum Gates Via Yang-Baxterization of Dihedral Quantum Double

  • Mario Vélez
  • Juan Ospina
Conference paper

DOI: 10.1007/978-3-540-71618-1_14

Part of the Lecture Notes in Computer Science book series (LNCS, volume 4431)
Cite this paper as:
Vélez M., Ospina J. (2007) Universal Quantum Gates Via Yang-Baxterization of Dihedral Quantum Double. In: Beliczynski B., Dzielinski A., Iwanowski M., Ribeiro B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2007. Lecture Notes in Computer Science, vol 4431. Springer, Berlin, Heidelberg

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations