Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust Stability Analysis of an Optical Parametric Amplifier Quantum
  System   This paper considers the problem of robust stability for a class of uncertain
nonlinear quantum systems subject to unknown perturbations in the system
Hamiltonian. The case of a nominal linear quantum system is considered with
non-quadratic perturbations to the system Hamiltonian. The paper extends recent
results on the robust stability of nonlinear quantum systems to allow for
non-quadratic perturbations to the Hamiltonian which depend on multiple
parameters. A robust stability condition is given in terms of a strict bounded
real condition. This result is then applied to the robust stability analysis of
a nonlinear quantum system which is a model of an optical parametric amplifier.

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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: q-alg