On quantum statistical inference

OE Barndorff-Nielsen, RD Gill, Peter Edmund Jupp

Research output: Contribution to journalArticlepeer-review

99 Citations (Scopus)

Abstract

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)775-804
Number of pages31
JournalJournal of the Royal Statistical Society: Series B (Statistical Methodolgy)
Volume65
Issue number4
DOIs
Publication statusPublished - Nov 2003

Keywords

  • quantum cuts
  • quantum exponential family
  • quantum information
  • quantum measurements
  • quantum score
  • quantum statistical models
  • quantum sufficiency
  • quantum transformation model
  • spin half
  • FREE PROBABILITY
  • LEVY PROCESSES
  • LOCAL CUTS
  • INFORMATION
  • SYSTEMS
  • MODELS
  • STATES

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