Optimal Control of Multi-Level Quantum Systems : Applications of Control Theory to Quantum Information Processing

Robert Fisher

ISBN 10: 3838125207 / ISBN 13: 9783838125206

Published by Südwestdeutscher Verlag Für Hochschulschriften, 2011

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - This thesis is concerned with the control of quantum systems. Given a Hamiltonian model of a quantum system, we are interested in finding controls-typically shaped electromagnetic pulses-that steer the evolution toward a desired target operation. For this we employ a numerical optimisation method known as the GRAPE algorithm. For particular experimental systems, we design control schemes that respect constraints of robustness and addressability, and are within the reach of the experimental hardware. Applications include the preparation of cluster states in a system of trapped ions, the implementation of the two-qubit Deutsch and Grover algorithms on a pair of carbon nuclei at a nitrogen-vacancy center in diamond, and the implementation of quantum gates on a grid of coupled superconducting qubits. In some special cases analytical solutions are obtained. The methods applied here are fairly general and can be adapted to a variety of other physical systems and tasks.

Seller Inventory # 9783838125206

Bibliographic Details

• Title: Optimal Control of Multi-Level Quantum Systems : Applications of Control Theory to Quantum Information Processing
• Publisher: Südwestdeutscher Verlag Für Hochschulschriften
• Publication Date: 2011
• Language: English
• ISBN 10: 3838125207
• ISBN 13: 9783838125206
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 9D millimeters 220 millimeters width by 150 millimeters height by 9 millimeters depth
• Weight: 215 grams

About this title

Synopsis

This thesis is concerned with the control of quantum systems. Given a Hamiltonian model of a quantum system, we are interested in finding controls?typically shaped electromagnetic pulses?that steer the evolution toward a desired target operation. For this we employ a numerical optimisation method known as the GRAPE algorithm. For particular experimental systems, we design control schemes that respect constraints of robustness and addressability, and are within the reach of the experimental hardware. Applications include the preparation of cluster states in a system of trapped ions, the implementation of the two-qubit Deutsch and Grover algorithms on a pair of carbon nuclei at a nitrogen-vacancy center in diamond, and the implementation of quantum gates on a grid of coupled superconducting qubits. In some special cases analytical solutions are obtained. The methods applied here are fairly general and can be adapted to a variety of other physical systems and tasks.

About the Author

Robert Fisher studied physics and mathematics at the University of Auckland, New Zealand, from 2001 to 2006. He then studied physics at the Technical University of Munich, Germany, under the supervision of Prof. S. J. Glaser. He completed his PhD in 2010.