Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multipartite $d-$level GHZ bases associated with generalized braid
  matrices   We investigate the generalized braid relation ($d-$level $N-$body braid
relation) and its application to quantum entanglement. By means of
finite-dimensional representations of Heisenberg-Weyl algebra, a set of
$d^{N}\times d^{N}$ unitary matrix representations satisfying the generalized
braid relation can be constructed. Such generalized braid matrices can entangle
$d-$level $N-$partite quantum states. Acting the generalized braid matrices on
the standard basis, one can obtain a set of maximally entangled basis. Further
study shows that such entangled basis can be viewed as the $d-$level
$N-$partite Greenberger-Horne-Zeilinger (GHZ) basis.

27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat