Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remarkable representation of the Clifford group   The finite Heisenberg group knows when the dimension of Hilbert space is a
square number. Remarkably, it then admits a representation such that the entire
Clifford group --- the automorphism group of the Heisenberg group --- is
represented by monomial phase-permutation matrices. This has a beneficial
influence on the amount of calculation that must be done to find Symmetric
Informationally Complete POVMs. I make some comments on the equations obeyed by
the absolute values of the components of the SIC vectors, and on the fact that
the representation partly suggests a preferred tensor product structure.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat