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On quantum statistical inference
Author(s) -
BarndorffNielsen Ole E.,
Gill Richard D.,
Jupp Peter E.
Publication year - 2003
Publication title -
journal of the royal statistical society: series b (statistical methodology)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 6.523
H-Index - 137
eISSN - 1467-9868
pISSN - 1369-7412
DOI - 10.1111/1467-9868.00415
Subject(s) - statistical inference , inference , computer science , quantum probability , context (archaeology) , quantum , statistical physics , statistical theory , mathematics , artificial intelligence , quantum process , quantum mechanics , quantum dynamics , physics , statistics , paleontology , biology
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.