Janus-faced tomograms and retrieval of quadrature moments for $q$-deformed states

TL;DR

This paper derives optical tomograms for various q-deformed quantum states, revealing a Janus-faced nature, and introduces a general method to extract quadrature moments, aiding high-precision experimental observations of quantum deviations.

Contribution

It presents a novel method to obtain quadrature moments from optical tomograms of q-deformed states, enhancing quantum state analysis.

Findings

Optical tomograms of q-deformed states show a Janus-faced nature.

A general technique to extract quadrature moments from tomograms is developed.

The method can be applied in high-precision experiments to detect quantum deviations.

Abstract

In this work, we derive the optical tomograms of various $q$-deformed quantum states. We found that the optical tomograms of the states under consideration exhibit a fascinating `Janus faced' nature, irrespective of the deformation parameter $q$. We also derived a general method to extract the quadrature moments from the optical tomograms of any $q$-deformed states. We also note that this technique can be used in high-precision experiments to observe deviations from the standard quantum mechanical behavior.