Optical Tomography of Photon-Added Coherent States, Even/Odd Coherent States and Thermal States

TL;DR

This paper derives explicit formulas for the optical tomograms of various photon-added quantum states, including coherent, even/odd coherent, and thermal states, facilitating their experimental detection via homodyne methods.

Contribution

It provides new explicit Hermite polynomial-based expressions for optical tomograms of photon-added states, aiding experimental quantum state characterization.

Findings

Explicit Hermite polynomial formulas for photon-added states' tomograms

Guidelines for experimental homodyne detection of these states

Enhanced understanding of quantum state measurement techniques

Abstract

Explicit expressions for optical tomograms of the photon-added coherent states, even/odd photon-added coherent states and photon-added thermal states are given in terms of Hermite polynomials. Suggestions for experimental homodyne detection of the considered photon states are presented.