Quadrature Measurement Characterization for Single-Mode Photon-Varied Gaussian States

Quantum systems for sensing, communication, control, and computing are pivotal for applications involving quantum networks. Such systems can perform quadrature measurements to extract information of interest inherent in the quantum states. Therefore, the design of quantum states is crucial to achieving high accuracy of the quadrature measurement. The widely used Gaussian states lack some relevant non-classical properties, thus calling for the design of quantum systems using non-Gaussian states. This paper characterizes the quadrature measurement accuracy for the photon-varied Gaussian states (PVGSs), which are a class of non-Gaussian states that can be generated using current technologies and possess relevant non-classical properties. First, we derive the wavefunctions of single-mode PVGSs. Then, we characterize the quadrature measurement accuracy and compare it with that for Gaussian states. The findings of this paper provide insights into the design of enhanced quantum systems and networks using single-mode PVGSs.