Quantum control in dissipative systems

Abstract

In this research project we will study the dynamics of important quantum properties, such as fidelity, quantum correlations, entanglement, and non-Markovianity in open quantum systems. Our main objective is to develop efficient and realistic strategies to protect quantum information and operations against the harmful effects of the environment.We will study protective strategies based on (i) dynamic decoupling and (ii) quantum optimal control theory. We will determine and compare the efficiency of these two different control methods and, in addition, to concatenate them in order to increase the protective efficiency.Two particular cases will be studied. First we will study physical systems where the relative distance of the qubits can vary over time. In this case, we will focus our attention on time dependent interaction Hamiltonian since that the interaction with the environment behaves independently, when the qubits are separated, and collectively, when they are close. Finally, we will include physical systems with more energy levels as qutrits and ququarts. In this case we will study the dissipative dynamics and control of one of the simplest quantum algorithms recently introduced by Zafer Gedik. (AU)