Super-resolution Quantum Imaging using Massively Entangled Multimode Squeezed Light

We present a new method for realizing super-resolution quantum imaging using massively entangled multimode squeezed light (MEMSL). Each branch of the MEMSL interacts with the object and bears the spatially varying optical phase delay. When imaging optics with finite pupil sizes are used, information is lost, ensuing the well-known Rayleigh-diffraction-limited image resolution. Thanks to the analyticity in the Fourier plane, a noiseless measurement would recover the lost information and accomplish super-resolution imaging beating the Rayleigh diffraction limit. We proved rigorously in a fully quantum formalism that (1) such information recovery is possible and (2) the information recovery can be accomplished with significantly fewer resources (light intensity) when MEMSL is used than those needed in any non-entangled or non-squeezed classical light/imaging method. Furthermore, the action of the optical loss in the imaging system that degrades the imaging performance is also rigorously analyzed and will be presented. We also suggest several bioimaging applications that can benefit tremendously from the proposed quantum imaging scheme.