4 research outputs found
Generalized binomial state: Nonclassical features observed through various witnesses and a measure of nonclassicality
Experimental realization of various quantum states of interest has become
possible in the recent past due to the rapid developments in the field of
quantum state engineering. Nonclassical properties of such states have led to
various exciting applications, specifically in the area of quantum information
processing. The present article aims to study lower- and higher-order
nonclassical features of such an engineered quantum state (a generalized
binomial state based on Abel's formula). Present study has revealed that the
state studied here is highly nonclassical. Specifically, higher-order
nonclassical properties of this state are reported using a set of witnesses,
like higher-order antibunching, higher-order sub-Poissonian photon statistics,
higher-order squeezing (both Hong Mandel type and Hillery type). A set of other
witnesses for lower- and higher-order nonclassicality (e.g., Vogel's criterion
and Agarwal's A parameter) have also been explored. Further, an analytic
expression for the Wigner function of the generalized binomial state is
reported and the same is used to witness nonclassicality and to quantify the
amount of nonclassicality present in the system by computing the nonclassical
volume (volume of the negative part of the Wigner function). Optical tomogram
of the generalized binomial state is also computed for various conditions as
Wigner function cannot be measured directly in an experiment in general, but
the same can be obtained from the optical tomogram with the help of Radon
transform.Comment: 18 pages, 26 figure
Quantum optics in MATLAB
We provide a MATLAB numerical guide at the beginner level to support students
starting their research career in theoretical quantum optics. These resources
are also valuable for undergraduate and graduate students working on semester
projects in the field of quantum optics