Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Separability criterion for pure states in multipartite and high
  dimensional systems   We propose a sufficient and necessary separability criterion for pure states
in multipartite and high dimensional systems. Its main advantage is operational
and computable. The obvious expressions of this criterion can be given out by
the coefficients of components of the pure state. In the end, we simply mention
a principle method how to define and obtain the measures of entanglement in
multipartite and high dimensional systems.

37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci