Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Separation of conditions as a prerequisite for quantum theory   We introduce the notion of "separation of conditions" meaning that a
description of statistical data obtained from experiments, performed under a
set of different conditions, allows for a decomposition such that each partial
description depends on mutually exclusive subsets of these conditions.
Descriptions that allow a separation of conditions are shown to entail the
basic mathematical framework of quantum theory. The Stern-Gerlach and the
Einstein-Podolsky-Rosen-Bohm experiment with three, respectively nine possible
outcomes are used to illustrate how the separation of conditions can be used to
construct their quantum theoretical descriptions. It is shown that the
mathematical structure of separated descriptions implies that, under certain
restrictions, the time evolution of the data can be described by the von
Neumann/Schr\"odinger equation.

27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat