Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable Quantum Computation   Integrable quantum computation is defined as quantum computing via the
integrable condition, in which two-qubit gates are either nontrivial unitary
solutions of the Yang--Baxter equation or the Swap gate (permutation). To make
the definition clear, in this article, we explore the physics underlying the
quantum circuit model, and then present a unified description on both quantum
computing via the Bethe ansatz and quantum computing via the Yang--Baxter
equation.

2
The categories of this paper are: math
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
19
The categories of this paper are: eess