Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Shannon-McMillan Theorem for AF $C^*$-systems   We give a new proof of quantum Shannon-McMillan theorem, extending it to AF
$C^*$-systems. Our proof is based on the variational principle, instead of the
classical Shannon-McMillan theorem.

19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an