Complementarity and state estimation

Thomas Baier, Dénes Petz

Research output: Contribution to journalArticle

4 Citations (Scopus)


The concept of complementarity (or quasi-orthogonality) is extended to positive operator-valued measurements. It is shown in the setting of unconstrained state estimation that the determinant of the mean quadratic error matrix is minimal if the positive operator-valued measurements are complementary (and informationally complete). Several examples of the scheme are given.

Original languageEnglish
Pages (from-to)203-214
Number of pages12
JournalReports on Mathematical Physics
Issue number2
Publication statusPublished - Apr 1 2010


  • Positive operator-valued measurements
  • Quadratic error matrix
  • State estimation
  • Unbiased basis

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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