Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Computing of Poincare Recurrences and Periodic Orbits   Quantum algorithms are built enabling to find Poincar\'e recurrence times and
periodic orbits of classical dynamical systems. It is shown that exponential
gain compared to classical algorithms can be reached for a restricted class of
systems. Quadratic gain can be achieved for a larger set of dynamical systems.
The simplest cases can be implemented with small number of qubits.

29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga