Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cascade and locally dissipative realizations of linear quantum systems
  for pure Gaussian state covariance assignment   This paper presents two realizations of linear quantum systems for covariance
assignment corresponding to pure Gaussian states. The first one is called a
cascade realization; given any covariance matrix corresponding to a pure
Gaussian state, we can construct a cascaded quantum system generating that
state. The second one is called a locally dissipative realization; given a
covariance matrix corresponding to a pure Gaussian state, if it satisfies
certain conditions, we can construct a linear quantum system that has only
local interactions with its environment and achieves the assigned covariance
matrix. Both realizations are illustrated by examples from quantum optics.

33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an