2021-03-262007-01-010302974316113349SCOPUS;2-s2.0-35948975717WOS;000246097200014http://hdl.handle.net/10784/27393The 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. © Springer-Verlag Berlin Heidelberg 2007.enghttps://v2.sherpa.ac.uk/id/publication/issn/0302-9743info:eu-repo/semantics/conferencePaperAlgebraProblem solvingTheorem provingBryslinski's theoremQuantum gatesYang-baxterizationZhang-Kauffman-Ge method (ZKGM)Quantum computers2021-03-26Velez, MarioOspina, Juan