How to Engineer Schrödinger´s Cat States in Kerr Non-Linear Resonators

Abstract

The purpose of this Bachelor thesis is to study methods to engineer Schrödinger’s cat states in microwave resonators, as proposed in the paper Engineering quantum states of light by S. Puri et al. The thesis starts by introducing relevant notions and concepts. Thereafter, it provides several analytical as well as numerical derivations of the main equations and results in the paper by S. Puri et al. The Kerr non-linear resonator (KNR) is explored as a means to adiabatically generate cat states. The Hamiltonian of the KNR is modified by detuning and orthogonal drive modes to achieve faster initialisation. Some images are also replicated with Matlab and the Python toolbox QuTiP. Finally, we also construct a number of quantum gates using coherent states.