Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A general scheme for construction of scalar separability criteria from
  positive maps   We present a general scheme that allows for construction of scalar
separability criteria from positive but not completely positive maps. The
concept is based on a decomposition of every positive map $\Lambda$ into a
difference of two completely positive maps $\Lambda_1$, $\Lambda_2$, i.e.,
$\Lambda=\Lambda_1-\Lambda_2$. The scheme may be also treated as a
generalization of the known entropic inequalities, which are obtained from the
reduction map. An analysis performed on few classes of states shows that the
new scalar criteria are stronger than the entropic inequalities and
furthermore, when derived from indecomposable maps allow for detection of bound
entanglement.

36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph