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The Yang-Baxter Equation, (Quantum) Computers and Unifying Theories

机译：Yang-Baxter方程，（量子）计算机和统一理论

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Quantum mechanics has had an important influence on building computers; nowadays, quantum mechanics principles are used for the processing and transmission of information. The Yang-Baxter equation is related to the universal gates from quantum computing and it realizes a unification of certain non-associative structures. Unifying structures could be seen as structures which comprise the information contained in other (algebraic) structures. Recently, we gave the axioms of a structure which unifies associative algebras, Lie algebras and Jordan algebras. Our paper is a review and a continuation of that approach. It also contains several geometric considerations.
机译：量子力学对建造计算机产生了重要影响。如今，量子力学原理已用于信息的处理和传输。 Yang-Baxter方程与量子计算中的通用门相关，它实现了某些非缔合结构的统一。统一结构可以看作是包含其他（代数）结构中包含的信息的结构。最近，我们给出了一个将联合代数，李代数和约旦代数统一的结构的公理。我们的论文是对该方法的回顾和延续。它还包含几个几何方面的考虑。

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