Quantum-enhanced estimation of a mode parameter

Abstract

This master thesis describes analytical and numerical studies of quantum mode parameter estimation limits. We analyze the estimation of transverse displacements and wavelength variations using a parameter-independent quantum state in different light modes. We find and evaluate systems where we can achieve a quantum-enhanced sensitivity beyond the standard quantum limit. Moreover, we find the modes and states in which we have to prepare the light, as well as the measurements we have to perform in order to achieve the maximum possible sensitivity. We compare the maximal sensitivity that can be obtained on the estimation of a radial displacement with optimal states on different light modes