Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Another dual formulation of the separability problem   We show how the separability problem is dual to that of decomposing any given
matrix into a conic combination of rank-one partial isometries, thus offering a
duality approach different to the positive maps characterization problem.
Several inmediate consequences are analyzed: (i) a sufficient criterion for
separability for bipartite quantum systems, (ii) a complete solution to the
separability problem for pure states also of bipartite systems independent of
the classical Schmidt decomposition method and (iii) a natural generalization
of these results to multipartite systems.

24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg