Bulg. J. Phys. vol.41 no.2 (2014), pp. 071-076

Non-Associative Algebras, Yang-Baxter equations, and Quantum Computers

R. Iordanescu1, F.F. Nichita1, I.M. Nichita2
1Institute of Mathematics "Simion Stoilow" of the Romanian Academy, P.O. Box 1-764, RO-014700 Bucharest, Romania
2ASESOFT, str. Mihai Bravu nr.10, Ploiesti, Romania
Abstract. Non-associative algebras is a research direction gaining much attention these days. New developments show that associative algebras and some not-associative structures can be unified at the level of Yang-Baxter structures. In this paper, we present a unification for associative algebras, Jordan algebras and Lie algebras. The (quantum) Yang-Baxter equation and related structures are interesting topics, because they have applications in many areas of physics, mathematics, and computer science. Several new interpretations and results are presented in this paper.

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