Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Examining the dimensionality of genuine multipartite entanglement   Entanglement in high-dimensional many-body systems plays an increasingly
vital role in the foundations and applications of quantum physics. In the
present paper, we introduce a theoretical concept which allows to categorize
multipartite states by the number of degrees of freedom being entangled. In
this regard, we derive computable and experimentally friendly criteria for
arbitrary multipartite qudit systems that enable to examine in how many degrees
of freedom a mixed state is genuine multipartite entangled.

37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th