Near-optimal quantum tomography: Estimators and bounds

Kueng, R; Ferrie, C

Near-optimal quantum tomography: Estimators and bounds

Kueng, R Ferrie, C

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Publication Type:: Journal Article
Citation:: New Journal of Physics, 2015, 17 (12)
Issue Date:: 2015-12-10

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Field	Value	Language
dc.contributor.author	Kueng, R	en_US
dc.contributor.author	Ferrie, C https://orcid.org/0000-0003-2736-9943	en_US
dc.date.issued	2015-12-10	en_US
dc.identifier.citation	New Journal of Physics, 2015, 17 (12)	en_US
dc.identifier.issn	1367-2630	en_US
dc.identifier.uri	http://hdl.handle.net/10453/119358
dc.description.abstract	© 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. We give bounds on the average fidelity achievable by any quantum state estimator, which is arguably the most prominently used figure of merit in quantum state tomography. Moreover, these bounds can be computed online - that is, while the experiment is running. We show numerically that these bounds are quite tight for relevant distributions of density matrices. We also show that the Bayesian mean estimator is ideal in the sense of performing close to the bound without requiring optimization. Our results hold for all finite dimensional quantum systems.	en_US
dc.relation.ispartof	New Journal of Physics	en_US
dc.relation.isbasedon	10.1088/1367-2630/17/12/123013	en_US
dc.subject.classification	Fluids & Plasmas	en_US
dc.title	Near-optimal quantum tomography: Estimators and bounds	en_US
dc.type	Journal Article
utslib.citation.volume	12	en_US
utslib.citation.volume	17	en_US
utslib.for	020603 Quantum Information, Computation and Communication	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.issue	12	en_US
pubs.publication-status	Published	en_US
pubs.volume	17	en_US

Abstract:

© 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. We give bounds on the average fidelity achievable by any quantum state estimator, which is arguably the most prominently used figure of merit in quantum state tomography. Moreover, these bounds can be computed online - that is, while the experiment is running. We show numerically that these bounds are quite tight for relevant distributions of density matrices. We also show that the Bayesian mean estimator is ideal in the sense of performing close to the bound without requiring optimization. Our results hold for all finite dimensional quantum systems.

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http://hdl.handle.net/10453/119358