Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrical Underpinning of Finite Dimensional Hilbert space   Finite geometry is employed to underpin operators in finite, d, dimensional
Hilbert space. The central role of mutual unbiased bases (MUB) states
projectors is exhibited. Interrelation among operators in Hilbert space,
revealed through their (finite) dual affine plane geometry (DAPG) underpinning
is studied. Transcription to (finite) affine plane geometry (APG) is given and
utilized for their interpretation.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas