Continuous variable cluster states in optomechanical systems

Abstract

This thesis presents theory and implementations of some quantum information processing resources. Continuous variable (CV) cluster states of the mechanical degrees of freedom in optomechanical systems are considered. We attempt to overcome the effects of decoherence in quantum computers so that quantum information processing becomes reliable. We show how to dissipatively prepare cluster states in optomechanical systems. We use the idea of dissipation engineering to obtain steady cluster states that are robust against the effects of decoherence. Using the scheme presented in this work, cluster states of two, four and eight modes with different squeezings and geometries are obtained with high fidelity and in the presence of mechanical noise.