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Bayes' theorem and quantum retrodiction

Barnett, S.M. and Pegg, D.T. and Jeffers, J. (2000) Bayes' theorem and quantum retrodiction. Journal of Modern Optics, 47 (11). pp. 1779-1789. ISSN 0950-0340

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Abstract

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.