On quantum statistical inference

Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, developments in the theory of quantum measurements have...

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Bibliographic Details
Published in:Journal of the Royal Statistical Society. Series B, Statistical methodology Statistical methodology, 2003-01, Vol.65 (4), p.775-804
Main Authors: Barndorff-Nielsen, Ole E., Gill, Richard D., Jupp, Peter E.
Format: Article
Language:English
Subjects:
Eigenvalues
Exact sciences and technology
Inference
Information
Linear inference, regression
Mathematical analysis
Mathematics
Matrices
Measurement
Model testing
Physics
Probabilities
Probability and statistics
Quantum cuts
Quantum exponential family
Quantum information
Quantum measurements
Quantum mechanics
Quantum score
Quantum statistical models
Quantum statistics
Quantum sufficiency
Quantum transformation model
Sciences and techniques of general use
Spin half
Statistical inferences
Statistical methods
Statistical models
Statistics
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Summary:Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, developments in the theory of quantum measurements have brought the basic mathematical framework for the probability calculations much closer to that of classical probability theory. The present paper reviews this field and proposes and interrelates some new concepts for an extension of classical statistical inference to the quantum context.
ISSN:1369-7412
1467-9868
DOI:10.1111/1467-9868.00415