Yang-Baxter matrices associated with quantum information based on the topological basis.

The solutions of Yang-Baxter equation (YBE) associated with quantum information have been reviewed with new progress. The additivity rule for two particles is shown to obey Lorentzian type other than the Gallilean. Acting the braiding operations on the topological basis, it turns out that the -dimensional representations obeying YBE are nothing but the Wigner's -functions. The connection between the extremization of -norm as well as of von Neumann entropy and the reduction of YBE to braid relation is also discussed. [ABSTRACT FROM AUTHOR]