Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterizing multipartite entanglement classes via higher-dimensional
  embeddings   Witness operators are a central tool to detect entanglement or to distinguish
among the different entanglement classes of multiparticle systems, which can be
defined using stochastic local operations and classical communication (SLOCC).
We show a one-to-one correspondence between general SLOCC witnesses and a class
of entanglement witnesses in an extended Hilbert space. This relation can be
used to derive SLOCC witnesses from criteria for full separability of quantum
states; moreover, given SLOCC witness can be viewed as entanglement witnesses.
As applications of this relation we discuss the calculation of overlaps between
different SLOCC classes, and the SLOCC classification in $2\times 3\times
3$-dimensional systems.

27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph