Bayes' theorem and quantum retrodiction

S.M. Barnett, D.T. Pegg, J. Jeffers

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58 Citations (Scopus)
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We derive on the basis of Bayes' theorem a simple but general expression for the retrodicted premeasurement state associated with the result of any measurement. The retrodictive density operator is the normalized probability operator measure element associated with the result. We examine applications to quantum optical cryptography and to the optical beam splitter.
Original languageEnglish
Pages (from-to)1779-1789
Number of pages10
JournalJournal of Modern Optics
Issue number11
Publication statusPublished - Sept 2000


  • physics
  • optics
  • Bayes' theorem
  • quantum retrodiction


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