Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Detection of $k$-partite entanglement and $k$-nonseparability of
  multipartite quantum states   Identifying the $k$-partite entanglement and $k$-nonseparability of general
$N$-partite quantum states are fundamental issues in quantum information
theory. By use of computable inequalities of nonlinear operators, we present
some simple and powerful $k$-partite entanglement and $k$-nonseparability
criteria that works very well and allow for a simple and inexpensive test for
the whole hierarchy of $k$-partite entanglement and $k$-separability of
$N$-partite systems with $k$ running from $N$ down to 2. We illustrate their
strengths by considering several examples in which our criteria perform better
than other known detection criteria. We are able to detect $k$-partite
entanglement and $k$-nonseparabilty of multipartite systems which have
previously not been identified. In addition, our results can be implemented in
today's experiments.

22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th