Quantum state estimation and work extraction processes beyond IID

Quadeer, Maria

Quantum state estimation and work extraction processes beyond IID

Quadeer, Maria

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Publication Type:: Thesis
Issue Date:: 2021

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Field	Value	Language
dc.contributor.author	Quadeer, Maria
dc.date.accessioned	2022-07-04T23:25:29Z
dc.date.available	2022-07-04T23:25:29Z
dc.date.issued	2021
dc.identifier.uri	http://hdl.handle.net/10453/158632
dc.description	University of Technology Sydney. Faculty of Engineering and Information Technology.	en_US.UTF-8
dc.description.abstract	This thesis explores two specific problems within the broad context of one-shot information theory. In the first part of this thesis, we investigate Bayesian and minimax estimators for quantum state estimation under general Bregman divergences with single-shot measurements. We also study the problem of covariant state estimation and obtain optimal measurements for the same. In the second part, we study work extraction processes mediated by finite-time interactions with an ambient bath—partial thermalizations—as continuous time Markov processes for two-level systems. We analyze the distribution of work for the case where the energy gap of a two-level system is driven at a constant rate. We also analyse work extraction cycles by modifying the Carnot cycle, incorporating processes involving partial thermalizations.	en_US.UTF-8
dc.format	Thesis (PhD)
dc.language.iso	en_US	en_US.UTF-8
dc.relation	https://opus.lib.uts.edu.au/bitstream/10453/158632/2/02whole.pdf
dc.rights	The author owns the copyright in this thesis including all reproduction and reuse rights for the work. The work may not be altered without the permission of the copyright owner. Attribution is essential when quoting or paraphrasing from this thesis.
dc.rights	au.edu.uts.lib/ppc
dc.rights	info:eu-repo/semantics/openAccess
dc.title	Quantum state estimation and work extraction processes beyond IID	en_US.UTF-8
dc.type	Thesis
utslib.copyright.status	open_access	*

Abstract:

This thesis explores two specific problems within the broad context of one-shot information theory. In the first part of this thesis, we investigate Bayesian and minimax estimators for quantum state estimation under general Bregman divergences with single-shot measurements. We also study the problem of covariant state estimation and obtain optimal measurements for the same. In the second part, we study work extraction processes mediated by finite-time interactions with an ambient bath—partial thermalizations—as continuous time Markov processes for two-level systems. We analyze the distribution of work for the case where the energy gap of a two-level system is driven at a constant rate. We also analyse work extraction cycles by modifying the Carnot cycle, incorporating processes involving partial thermalizations.

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http://hdl.handle.net/10453/158632