Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimation of Wigner distribution of single mode Gaussian states: a
  comparative study   In this work, we consider the estimation of single mode Gaussian states using
four different measurement schemes namely: i) homodyne measurement, ii)
sequential measurement, iii) Arthurs-Kelly scheme, and iv) heterodyne
measurement, with a view to compare their relative performance. To that end, we
work in the phase space formalism, specifically at the covariance matrix level,
which provides an elegant and intuitive way to explicitly carry out involved
calculations. We show that the optimal performance of the Arthurs-Kelly scheme
and the sequential measurement is equal to the heterodyne measurement. While
the heterodyne measurement outperforms the homodyne measurement in the mean
estimation of squeezed state ensemble, the homodyne measurement outperforms the
heterodyne measurement for variance estimation of squeezed state ensemble up to
a certain range of squeezing parameter. We then modify the Hamiltonian in the
Arthurs-Kelly scheme, such that the two meters can have correlations and show
that the optimal performance is achieved when the meters are uncorrelated. We
expect that the results will be useful in analyzing various quantum information
and quantum communication protocols.

14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn