Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic analogs of polar decomposition and their applications to
  bosonic Gaussian channels   We obtain several analogs of real polar decomposition for even dimensional
matrices. In particular, we decompose a non-degenerate matrix as a product of a
Hamiltonian and an anti-symplectic matrix and under additional requirements we
decompose a matrix as a skew-Hamiltonian and a symplectic matrix. We apply our
results to study bosonic Gaussian channels up to inhomogeneous symplectic
transforms.

25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin