Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A functorial characterization of von Neumann entropy   Using convex Grothendieck fibrations, we characterize the von Neumann entropy
as a functor from finite-dimensional non-commutative probability spaces and
state-preserving *-homomorphisms to real numbers. Our axioms reproduce those of
Baez, Fritz, and Leinster characterizing the Shannon entropy difference. The
existence of disintegrations for classical probability spaces plays a crucial
role in our characterization.

24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc