Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Theory as Efficient Representation of Probabilistic Information   Quantum experiments yield random data. We show that the most efficient way to
store this empirical information by a finite number of bits is by means of the
vector of square roots of observed relative frequencies. This vector has the
unique property that its dispersion becomes invariant of the underlying
probabilities, and therefore invariant of the physical parameters. This also
extends to the complex square roots, and it remains true under a unitary
transformation. This reveals quantum theory as a theory for making predictions
which are as accurate as the input information, without any statistical loss.
Our analysis also suggests that from the point of view of information a
slightly more accurate theory than quantum theory should be possible.

34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess