Quasi-probability representations of quantum theory with applications to quantum information science

Ferrie, C

Quasi-probability representations of quantum theory with applications to quantum information science

Ferrie, C

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Publication Type:: Journal Article
Citation:: Reports on Progress in Physics, 2011, 74 (11)
Issue Date:: 2011-11-01

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Field	Value	Language
dc.contributor.author	Ferrie, C https://orcid.org/0000-0003-2736-9943	en_US
dc.date.issued	2011-11-01	en_US
dc.identifier.citation	Reports on Progress in Physics, 2011, 74 (11)	en_US
dc.identifier.issn	0034-4885	en_US
dc.identifier.uri	http://hdl.handle.net/10453/118178
dc.description.abstract	This paper comprises a review of both the quasi-probability representations of infinite-dimensional quantum theory (including the Wigner function) and the more recently defined quasi-probability representations of finite-dimensional quantum theory. We focus on both the characteristics and applications of these representations with an emphasis toward quantum information theory. We discuss the recently proposed unification of the set of possible quasi-probability representations via frame theory and then discuss the practical relevance of negativity in such representations as a criteria for quantumness. © 2011 IOP Publishing Ltd.	en_US
dc.relation.ispartof	Reports on Progress in Physics	en_US
dc.relation.isbasedon	10.1088/0034-4885/74/11/116001	en_US
dc.subject.classification	General Physics	en_US
dc.title	Quasi-probability representations of quantum theory with applications to quantum information science	en_US
dc.type	Journal Article
utslib.citation.volume	11	en_US
utslib.citation.volume	74	en_US
utslib.for	010505 Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory	en_US
utslib.for	020603 Quantum Information, Computation and Communication	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	closed_access
pubs.issue	11	en_US
pubs.publication-status	Published	en_US
pubs.volume	74	en_US

Abstract:

This paper comprises a review of both the quasi-probability representations of infinite-dimensional quantum theory (including the Wigner function) and the more recently defined quasi-probability representations of finite-dimensional quantum theory. We focus on both the characteristics and applications of these representations with an emphasis toward quantum information theory. We discuss the recently proposed unification of the set of possible quasi-probability representations via frame theory and then discuss the practical relevance of negativity in such representations as a criteria for quantumness. © 2011 IOP Publishing Ltd.

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http://hdl.handle.net/10453/118178