Let's Burn a hole in the Binomial state of the radiation field

TL;DR

This paper investigates how hole burning (state filtering) at the vacuum component affects the nonclassical properties of a binomial quantum state, demonstrating enhanced nonclassicality through various criteria.

Contribution

It introduces the concept of hole burning on a nonclassical binomial state and shows that this process amplifies its nonclassical features.

Findings

Vacuum filtered binomial state is highly nonclassical.

Hole burning enhances the nonclassical depth of the state.

The nonclassical properties are confirmed by multiple criteria.

Abstract

In quantum optics, nonclassical properties of various quantum states of radiation field are frequently studied. Some of those states are finite dimensional and referred to as qudits. These states are important because of their potential applications in quantum information processing. Further, nonclassical states are those which do not have any classical counterpart. Consequently, to establish quantum supremacy, we always require nonclassical state. Recently, Sivakumar and Meher have studied the nonclassical properties of the number state filtered coherent state, and shown that the number state filtering introduces nonclassical features into coherent state which is otherwise classical. This observation motivated us to investigate the role of hole burning (state filtering) on a state which is already nonclassical. Specifically, we have selected a Binomial state which is known to be nonclassical as our test bed and burnt a hole at vacuum (equivalently filtered the vacuum state). To check the nonclassical properties of vacuum filtered binomial state, we have used Vogel's criterion, criterion of higher- and lower-order antibunching, criterion of higher-order sub-Poissonian photon statistics, Linear entropy etc. The investigation results show that vacuum filtered binomial state studied here is highly nonclassical, and the hole burning process enhances the nonclassical depth.