Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How quantum paradoxes originate from the non-classical statistics of
  physical properties related to each other by half-periodic transformations   Quantum paradoxes show that quantum statistics can exceed the limits of
positive joint probabilities for physical properties that cannot be measured
jointly. It is therefore impossible to describe the relations between the
different physical properties of a quantum system by assigning joint realities
to their observable values. Instead, recent experimental results obtained by
weak measurements suggest that non-classical correlations could be expressed by
complex valued quasi-probabilities, where the phases of the complex
probabilities express the action of transformations between the non-commuting
properties (H. F. Hofmann, New J. Phys. 13, 103009 (2011)). In these relations,
negative probabilities necessarily emerge whenever the physical properties
involved are related to each other by half-periodic transformations, since such
transformations are characterized by action phases of Pi in their complex
probabilities. It is therefore possible to trace the failure of realist
assumptions back to a fundamental and universally valid relation between
statistics and dynamics that associates half-periodic transformations with
negative probabilities.

36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex