Fisher-Symmetric Informationally Complete Measurements for Pure States

Li, N; Ferrie, C; Gross, JA; Kalev, A; Caves, CM

Fisher-Symmetric Informationally Complete Measurements for Pure States

Li, N Ferrie, C

Gross, JA Kalev, A Caves, CM

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Publication Type:: Journal Article
Citation:: Physical Review Letters, 2016, 116 (18)
Issue Date:: 2016-05-05

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Field	Value	Language
dc.contributor.author	Li, N	en_US
dc.contributor.author	Ferrie, C https://orcid.org/0000-0003-2736-9943	en_US
dc.contributor.author	Gross, JA	en_US
dc.contributor.author	Kalev, A	en_US
dc.contributor.author	Caves, CM	en_US
dc.date.issued	2016-05-05	en_US
dc.identifier.citation	Physical Review Letters, 2016, 116 (18)	en_US
dc.identifier.issn	0031-9007	en_US
dc.identifier.uri	http://hdl.handle.net/10453/105832
dc.description.abstract	© 2016 American Physical Society. We introduce a new kind of quantum measurement that is defined to be symmetric in the sense of uniform Fisher information across a set of parameters that uniquely represent pure quantum states in the neighborhood of a fiducial pure state. The measurement is locally informationally complete - i.e., it uniquely determines these parameters, as opposed to distinguishing two arbitrary quantum states - and it is maximal in the sense of a multiparameter quantum Cramér-Rao bound. For a d-dimensional quantum system, requiring only local informational completeness allows us to reduce the number of outcomes of the measurement from a minimum close to but below 4d-3, for the usual notion of global pure-state informational completeness, to 2d-1.	en_US
dc.relation.ispartof	Physical Review Letters	en_US
dc.relation.isbasedon	10.1103/PhysRevLett.116.180402	en_US
dc.subject.classification	General Physics	en_US
dc.title	Fisher-Symmetric Informationally Complete Measurements for Pure States	en_US
dc.type	Journal Article
utslib.citation.volume	18	en_US
utslib.citation.volume	116	en_US
utslib.for	0206 Quantum Physics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	09 Engineering	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	18	en_US
pubs.publication-status	Published	en_US
pubs.volume	116	en_US

Abstract:

© 2016 American Physical Society. We introduce a new kind of quantum measurement that is defined to be symmetric in the sense of uniform Fisher information across a set of parameters that uniquely represent pure quantum states in the neighborhood of a fiducial pure state. The measurement is locally informationally complete - i.e., it uniquely determines these parameters, as opposed to distinguishing two arbitrary quantum states - and it is maximal in the sense of a multiparameter quantum Cramér-Rao bound. For a d-dimensional quantum system, requiring only local informational completeness allows us to reduce the number of outcomes of the measurement from a minimum close to but below 4d-3, for the usual notion of global pure-state informational completeness, to 2d-1.

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http://hdl.handle.net/10453/105832