Identification of nonclassical properties of light with multiplexing layouts
Jan Sperling, A. Eckstein, William R. Clements, M.W. Moore, Jelmer J. Renema, W. S. Kolthammer, Sae Woo Nam, Adriana E. Lita, Thomas Gerrits, Ian A. Walmsley, Girish Saran Agarwal, W. Vogel · Physical Review A · 2017
, 163602 (2017)], we introduced and applied a detector-independent method to uncover nonclassicality. Here, we extend those techniques and give more details on the performed analysis. We derive a general theory of the positive-operator-valued measure that describes multiplexing layouts with arbitrary detectors. From the resulting quantum version of a multinomial statistics, we infer nonclassicality probes based on a matrix of normally ordered moments. We discuss these criteria and apply the theory to our data which are measured with superconducting transition-edge sensors. Our experiment produces heralded multiphoton states from a parametric down-conversion light source. We show that the known notions of sub-Poisson and sub-binomial light can be deduced from our general approach, and we establish the concept of sub-multinomial light, which is shown to outperform the former two concepts of nonclassicality for our data.