One-shot resource distillation in quantum resource theories, and W-state encoding for optical QEC

Vijayan, Madhav Krishnan

One-shot resource distillation in quantum resource theories, and W-state encoding for optical QEC

Vijayan, Madhav Krishnan

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Publication Type:: Thesis
Issue Date:: 2020

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Field	Value	Language
dc.contributor.author	Vijayan, Madhav Krishnan
dc.date.accessioned	2021-10-26T02:10:07Z
dc.date.available	2021-10-26T02:10:07Z
dc.date.issued	2020
dc.identifier.uri	http://hdl.handle.net/10453/151214
dc.description	University of Technology Sydney. Faculty of Engineering and Information Technology.	en_US.UTF-8
dc.description.abstract	Part I of this thesis studies the problem of optimally converting a single copy of an arbitrary quantum state into maximally resourceful states. Specifically, in the resource theory of coherence, the ideal rate for this conversion is found when assisted by a distant party with whom one shares a quantum state. The optimal distillation of a target pure state in a more general resource theory framework is then studied with minimal assumptions regarding the physical resource. Part II of this thesis studies the problem of error correction in linear quantum optics. An encoding using W-states is introduced which is easily implementable using current technology without feed-forward and it shown that this encoding is robust against independent dephasing errors.	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/10453/151214/2/02whole.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	One-shot resource distillation in quantum resource theories, and W-state encoding for optical QEC	en_US.UTF-8
dc.type	Thesis
utslib.copyright.status	open_access	*

Abstract:

Part I of this thesis studies the problem of optimally converting a single copy of an arbitrary quantum state into maximally resourceful states. Specifically, in the resource theory of coherence, the ideal rate for this conversion is found when assisted by a distant party with whom one shares a quantum state. The optimal distillation of a target pure state in a more general resource theory framework is then studied with minimal assumptions regarding the physical resource. Part II of this thesis studies the problem of error correction in linear quantum optics. An encoding using W-states is introduced which is easily implementable using current technology without feed-forward and it shown that this encoding is robust against independent dephasing errors.

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