Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Operads   The most standard description of symmetries of a mathematical structure
produces a group. However, when the definition of this structure is motivated
by physics, or information theory, etc., the respective symmetry objects might
become more sophisticated: quasigroups, loops, quantum groups, ... In this
paper, we introduce and study quantum symmetries of very general categorical
structures: operads. Its initial motivation were spaces of probability
distributions on finite sets. We also investigate here how structures of
quantum information, such as quantum states and some constructions of quantum
codes are algebras over operads.

15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph