Single photon-added coherent states: estimation of parameters and fidelity of the optical homodyne detection

TL;DR

This paper presents a method for characterizing single-photon-added coherent states using optical homodyne tomography, estimating parameters, detector efficiency, and fidelity bounds from experimental data.

Contribution

It introduces a minimal distance estimation method for parameter and fidelity evaluation of SPACS from quadrature data.

Findings

Accurate parameter estimation of SPACS achieved

Bounds on fidelity successfully estimated from experimental data

Method enhances precision in quantum state engineering

Abstract

Travelling modes of single-photon-added coherent states (SPACS) are characterized via optical homodyne tomography. Given a set of experimentally measured quadrature distributions, we estimate parameters of the state and also extract information about the detector efficiency. The method used is a minimal distance estimation between theoretical and experimental quantities, which additionally allows to evaluate the precision of estimated parameters. Given experimental data, we also estimate the lower and upper bounds on fidelity. The results are believed to encourage preciser engineering and detection of SPACS.