Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From single-particle physical distributions to probabilistic measures of
  two-particle entanglement   An inversion method is formulated for extracting entanglement-related
information on two-particle interactions in a one-dimensional system from
measurable one-particle position- and momentum-distribution functions. The
method is based on a shell-like expansion of these norm-1 measured quantities
in terms of product states taken from a parametric orthonormal complete set.
The mathematical constraints deduced from these point-wise expansions are
restricted by the underlying physics of our harmonically confined and
interacting Heisenberg model. Based on these exact results, we introduce an
approximate optimization scheme for different inter-particle interactions and
discuss it from the point of view of entropic correlation measures.

16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat