Efficacy of tomographic markers of photon addition to coherent states of light: Comparison with experiment

Abstract: Photon addition to quantum states of light is of immense current interest, both experimentally and theoretically. We identify a set of markers of photon addition to coherent states of light, which are directly computable from relevant optical tomograms. The amplification gain due to photon addition, and the dependence of quadrature variances on relevant parameters, are calculated from the tomograms and compared with results from a recent experiment, obtained after state reconstruction. Our results match well with the fidelity plots reported by the experimenters. These markers could provide a viable procedure to characterize specific aspects of photon addition to light from the corresponding tomograms themselves.