Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Simulation of Hamiltonians Using a Finite Set of Control
  Operations   Any quantum system with a non-trivial Hamiltonian is able to simulate any
other Hamiltonian evolution provided that a sufficiently large group of unitary
control operations is available. We show that there exist finite groups with
this property and present a sufficient condition in terms of group characters.
We give examples of such groups in dimension 2 and 3. Furthermore, we show that
it is possible to simulate an arbitrary bipartite interaction by a given one
using such groups acting locally on the subsystems.

31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: econ
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess