Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kaleidoscope of Quantum Coherent States   The Schr\"odinger cat states, constructed from Glauber coherent states and
applied for description of qubits, are generalized to the kaleidoscope of
coherent states related with regular n-polygon symmetry and the roots of unity.
The cases of the trinity states and the quartet states are described in
details. Normalization formula for these states requires introduction of
specific combinations of exponential functions with mod 3 and mod 4 symmetry.
We show that for an arbitrary $n$, these states can be generated by the Quantum
Fourier transform and can provide qutrits, ququats and in general, qudit units
of quantum information. Relations with quantum groups and quantum calculus are
discussed.

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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th