Cost of postselection in decision theory

Combes, Joshua and Ferrie, Christopher (2015) Cost of postselection in decision theory. Physical Review A - Atomic, Molecular, and Optical Physics, 92 022117: . doi:10.1103/PhysRevA.92.022117

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Author Combes, Joshua
Ferrie, Christopher
Title Cost of postselection in decision theory
Journal name Physical Review A - Atomic, Molecular, and Optical Physics   Check publisher's open access policy
ISSN 1094-1622
1050-2947
Publication date 2015-08-19
Year available 2015
Sub-type Article (original research)
DOI 10.1103/PhysRevA.92.022117
Open Access Status File (Publisher version)
Volume 92
Issue 022117
Total pages 9
Place of publication College Park, Maryland, United States
Publisher American Physical Society
Collection year 2016
Language eng
Abstract 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.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2016 Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 3 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 3 times in Scopus Article | Citations
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