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

Zeitler, Chris

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https://hdl.handle.net/2142/113799 Copy

Description

Title

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

Author(s)

Zeitler, Chris

Issue Date

2021-08-12

Director of Research (if dissertation) or Advisor (if thesis)

Kwiat, Paul G.

Doctoral Committee Chair(s)

Lorenz, Virginia

Committee Member(s)

• Chitambar, Eric
• Peng, Jen-Chieh

Department of Study

Physics

Discipline

Physics

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

Ph.D.

Degree Level

Dissertation

Date of Ingest

2022-04-29T21:34:02Z

Keyword(s)

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

Language

eng

Abstract

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.

Graduation Semester

2021-12

Type of Resource

text

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

Copyright and License Information

Copyright 2012 by Chris Zeitler. All rights reserved.

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