Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pure and mixed discrete variable Gaussian states   A Gaussian function of discrete variable can be associated in a natural way
to a Gaussian function of continuous variable in each odd-dimensional Hilbert
space. The discrete Fourier transform and discrete Wigner distribution of such
a function can be expressed in terms of the corresponding continuous
counterpart. By extending this continuous-discrete correspondence up to all the
continuous variable Gaussian states, we define some new (to our knowledge) pure
and mixed discrete variable Gaussian states, and investigate some of their
properties.

12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph