Sub-Poisson-binomial light

We introduce a general parameter ${Q}_{\mathrm{PB}}$ that provides an experimentally accessible nonclassicality measure for light. The parameter is quantified by the click statistics obtained from on-off detectors in a general multiplexing detection setup. Sub-Poisson-binomial statistics, observed by ${Q}_{\mathrm{PB}}l0$, indicates that a given state of light is nonclassical. Our parameter replaces the binomial parameter ${Q}_{\mathrm{B}}$ for more general cases, where any unbalance among the multiplexed modes is allowed, thus enabling the use of arbitrary multiplexing schemes. The significance of the parameter ${Q}_{\mathrm{PB}}$ is theoretically examined in a measurement setup that only consists of a ring resonator and a single on-off detector. The proposed setup exploits minimal experimental resources and is geared towards a fully integrated quantum nanophotonic circuit. The results show that nonclassical features remain noticeable even in the presence of significant losses, rendering our nonclassicality test more practical and sufficiently flexible to be used in various nanophotonic platforms.