Engineering of reservoirs and decoherence-free evolutions in cavity quantum electrodynamics

Abstract

In this research project it will be investigated the engineering of interactions in the cavity quantum electrodynamics (CQE) context, with possible applications in quantum information theory. The system to be investigated consists of atoms or ions in a specific level configuration interacting with one or two modes of the radiation field trapped inside a superconducting cavity. The use of classical external fields is necessary to achieve the desired interaction. It will be investigated interactions which may be used in processes such as the protection of quantum states, in particular those necessary for the generation of squeezed reservoir for cavity field states, useful for preserving the coherence of superposition of coherent states. We will also investigate the engineering of reservoirs for two trapped ions inside the same cavity with low quality factor. In this case we are interested in protecting entangled states between these two ions. Still in the context of engineering reservoirs it will be studied how to carry out decoherence-free evolutions of atomic states of a single atom/ion and of entangled states of two ions trapped inside a bad cavity. We hope to be able to carry out some logical operations (quantum gates such as Hadamar, Controlled-NOT or phase gate) with the highest possible fidelity.