Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-associative algebras, Yang-Baxter equations and quantum computers   Non-associtive 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
mathematics, physics and computer science. Several new interpretations and
results are presented below.

24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas