Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kalman Decomposition for Linear Quantum Stochastic Systems   The Kalman decomposition for Linear Quantum Stochastic Systems in the real
quadrature operator representation, that was derived indirectly in [1] by the
authors, is derived here directly, using the "one-sided symplectic" SVD-like
factorization of [2] on the observability matrix of the system.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: econ
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th