Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: CPM Categories for Galois Extensions   By considering a generalisation of the CPM construction, we develop an
infinite hierarchy of probabilistic theories, exhibiting compositional
decoherence structures which generalise the traditional quantum-to-classical
transition. Analogously to the quantum-to-classical case, these decoherences
reduce the degrees of freedom in physical systems, while at the same time
restricting the fields over which the systems are defined. These theories
possess fully fledged operational semantics, allowing both categorical and
GPT-style approaches to their study.

7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin