Characterization of quantum states: advances in quantum tomography and tests of nonlocality

Quantum communication protocols rely on the precise generation of target quantum states. In order to implement these algorithms efficiently, characterization of the produced states is necessary to ensure that the generated state accurately matches the target. In practical communication tasks, there is a tradeoff between the amount of time spent monitoring the source state, and performing the desired task. In this thesis, we present work on the implementation of a Bayesian tomography algorithm that provides improved performance in this low-data regime relative to the standard maximum likelihood approach. In addition, we investigate the entanglement properties of hyperentangled states that display entanglement in multiple degrees of freedom simultaneously. We find that Bell tests beyond the standard CHSH inequality can reveal the higher-dimensional nature of these states.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2022

Author dc:creator

• Zeitler, Chris

Contributors dc:contributor

• Kwiat, Paul G.
• Lorenz, Virginia
• Chitambar, Eric
• Peng, Jen-Chieh

• quantum tomography
• Bell tests
• tests of nonlocality
• Bayesian probability
• quantum steering
• quantum gates

Statement dc:rights

• Copyright 2012 by Chris Zeitler. All rights reserved.

Language dc:language

en, eng

Handle dc:identifier

http://hdl.handle.net/2142/113799

OAI record oai:identifier

https://www.ideals.illinois.edu/oai-pmh?verb=GetRecord&metadataPrefix=etdms&identifier=oai%3Awww.ideals.illinois.edu%3A2142%2F113799