University of Illinois Urbana-Champaign

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

Zeitler, Chris

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

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
Keyword(s)
  • quantum tomography
  • Bell tests
  • tests of nonlocality
  • Bayesian probability
  • quantum steering
  • quantum gates
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
Thesis
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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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