Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Less (precision) is more (information): quantum information in fuzzy
  probability theory   A comparison of structural features of quantum and classical physical
theories, such as the information capacity of systems subject to these
theories, requires a common formal framework for the presentation of
corresponding concepts (such as states, observables, probability, entropy).
Such a framework is provided by the notion of statistical model developed in
the convexity approach to statistical physical theories. Here we use
statistical models to classify and survey all possible types of embedding and
extension of quantum probabilistic theories subject to certain reasonable
constraints. It will be shown that the so-called canonical classical extension
of quantum mechanics is essentially the only `good' representation of the
quantum statistical model in a classical framework. All quantum observables are
thus identified as fuzzy classical random variables.

36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph