Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlation based entanglement criteria for bipartite systems   We introduce a class of inequalities based on low order correlations of
operators to detect entanglement in bipartite systems. The operators may either
be Hermitian or non-Hermitian and are applicable to any physical system or
class of states. Testing the criteria on example systems reveals that they
outperform other common correlation based criteria, such as those by
Duan-Giedke-Cirac-Zoller and Hillery-Zubairy. One unusual feature of the
criteria is that it includes a term involving the average of the density matrix
squared, related to the purity of the system. We discuss how such a term could
be measured in relation to the criteria.

25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess