Cost of postselection in decision theory

Combes, J; Ferrie, C

Cost of postselection in decision theory

Combes, J Ferrie, C

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Publication Type:: Journal Article
Citation:: Physical Review A - Atomic, Molecular, and Optical Physics, 2015, 92 (2)
Issue Date:: 2015-08-19

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Field	Value	Language
dc.contributor.author	Combes, J	en_US
dc.contributor.author	Ferrie, C https://orcid.org/0000-0003-2736-9943	en_US
dc.date.issued	2015-08-19	en_US
dc.identifier.citation	Physical Review A - Atomic, Molecular, and Optical Physics, 2015, 92 (2)	en_US
dc.identifier.issn	1050-2947	en_US
dc.identifier.uri	http://hdl.handle.net/10453/119367
dc.description.abstract	© 2015 American Physical Society. Postselection is the process of discarding outcomes from statistical trials that are not the event one desires. Postselection can be useful in many applications where the cost of getting the wrong event is implicitly high. However, unless this cost is specified exactly, one might conclude that discarding all data is optimal. Here we analyze the optimal decision rules and quantum measurements in a decision theoretic setting where a prespecified cost is assigned to discarding data. Our scheme interpolates between unambiguous state discrimination (when the cost of postselection is zero) and a minimum error measurement (when the cost of postselection is maximal). We also relate our formulation to previous approaches which focus on minimizing the probability of indecision.	en_US
dc.relation.ispartof	Physical Review A - Atomic, Molecular, and Optical Physics	en_US
dc.relation.isbasedon	10.1103/PhysRevA.92.022117	en_US
dc.subject.classification	General Physics	en_US
dc.title	Cost of postselection in decision theory	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	92	en_US
utslib.for	020603 Quantum Information, Computation and Communication	en_US
utslib.for	010503 Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	03 Chemical 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	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	92	en_US

Abstract:

© 2015 American Physical Society. Postselection is the process of discarding outcomes from statistical trials that are not the event one desires. Postselection can be useful in many applications where the cost of getting the wrong event is implicitly high. However, unless this cost is specified exactly, one might conclude that discarding all data is optimal. Here we analyze the optimal decision rules and quantum measurements in a decision theoretic setting where a prespecified cost is assigned to discarding data. Our scheme interpolates between unambiguous state discrimination (when the cost of postselection is zero) and a minimum error measurement (when the cost of postselection is maximal). We also relate our formulation to previous approaches which focus on minimizing the probability of indecision.

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http://hdl.handle.net/10453/119367