Fully-Quantum-Theoretic Numerical Study on Quantum Phase Sensing and Ghost Imaging Systems Operating with Multimode N00N States

Abstract

We present a numerical study on the super-resolution of quantum phase sensing and ghost imaging systems operating with multimode N00N states beyond the Rayleigh diffraction limit. Our computational simulations are based on the canonical quantization via numerical mode-decomposition (CQ-NMD) [1,2], in which normal (eigen) modes of electromagnetic fields in inhomogeneous dielectric media are numerically found using computational electromagnetics methods. In the CQ-NMD framework and the Heisenberg picture, the expectation value of arbitrary observables with respect to initial quantum states of various non-classical lights can be evaluated with the use of Wick's theorem. The present numerical framework has a great potential to deal with scattering problems of entangled photons due to arbitrary dielectric objects.