On quantum statistical inference

O.E. Barndorff-Nielsen, R.D. Gill, P.E. Jupp

    Research output: Contribution to journalArticleAcademicpeer-review

    97 Citations (Scopus)


    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.
    Original languageEnglish
    Pages (from-to)775-805
    JournalJournal of the Royal Statistical Society. Series B : Statistical Methodology
    Issue number4
    Publication statusPublished - 2003

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