Investigations on resource-limited quantum control through NMR pulses

Universal high fidelity coherent control over large Hilbert spaces is essential for quantum information processing to become a useful tool in science, engineering, communications and computation. The development of methods for coherent control are however still in their infancy. In particular, very little is known about the efficiency of quantum control subject to limitations in resources such as drive power, drive bandwidth and system decoherence. Here we report the results of numerical simulations to investigate the influence of limited resources. We introduce the curvature of fidelity as a measure of robustness. We apply these ideas to strongly modulating NMR pulse sequences and study the effects of increasing resources on the fidelity and curvature.

Department dc:contributor.department

Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2006

Author dc:creator

• Lee, Karen Ka Yan

Advisor dc:contributor.advisor

• David Corey.

• Electrical Engineering and Computer Science.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/37945

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/37945