High posterior density ellipsoids of quantum states

Ferrie, C

High posterior density ellipsoids of quantum states

Ferrie, C

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Publication Type:: Journal Article
Citation:: New Journal of Physics, 2014, 16
Issue Date:: 2014-02-01

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Field	Value	Language
dc.contributor.author	Ferrie, C https://orcid.org/0000-0003-2736-9943	en_US
dc.date.issued	2014-02-01	en_US
dc.identifier.citation	New Journal of Physics, 2014, 16	en_US
dc.identifier.issn	1367-2630	en_US
dc.identifier.uri	http://hdl.handle.net/10453/118964
dc.description.abstract	Regions of quantum states generalize the classical notion of error bars. High posterior density (HPD) credible regions are the most powerful of region estimators. However, they are intractably hard to construct in general. This paper reports on a numerical approximation to HPD regions for the purpose of testing a much more computationally and conceptually convenient class of regions: posterior covariance ellipsoids (PCEs). The PCEs are defined via the covariance matrix of the posterior probability distribution of states. Here it is shown that PCEs are near optimal for the example of Pauli measurements on multiple qubits. Moreover, the algorithm is capable of producing accurate PCE regions even when there is uncertainty in the model. © 2014 IOP Publishing and Deutsche Physikalische Gesellschaft.	en_US
dc.relation.ispartof	New Journal of Physics	en_US
dc.relation.isbasedon	10.1088/1367-2630/16/2/023006	en_US
dc.subject.classification	Fluids & Plasmas	en_US
dc.title	High posterior density ellipsoids of quantum states	en_US
dc.type	Journal Article
utslib.citation.volume	16	en_US
utslib.for	0206 Quantum Physics	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	open_access
pubs.publication-status	Published	en_US
pubs.volume	16	en_US

Abstract:

Regions of quantum states generalize the classical notion of error bars. High posterior density (HPD) credible regions are the most powerful of region estimators. However, they are intractably hard to construct in general. This paper reports on a numerical approximation to HPD regions for the purpose of testing a much more computationally and conceptually convenient class of regions: posterior covariance ellipsoids (PCEs). The PCEs are defined via the covariance matrix of the posterior probability distribution of states. Here it is shown that PCEs are near optimal for the example of Pauli measurements on multiple qubits. Moreover, the algorithm is capable of producing accurate PCE regions even when there is uncertainty in the model. © 2014 IOP Publishing and Deutsche Physikalische Gesellschaft.

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http://hdl.handle.net/10453/118964