Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hermitian Tensor Product Approximation of Complex Matrices and
  Separability   The approximation of matrices to the sum of tensor products of Hermitian
matrices is studied. A minimum decomposition of matrices on tensor space
$H_1\otimes H_2$ in terms of the sum of tensor products of Hermitian matrices
on $H_1$ and $H_2$ is presented. From this construction the separability of
quantum states is discussed.

3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat