Complementarity and state estimation

Thomas Baier, Dénes Petz

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

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
Volume65
Issue number2
DOIs
Publication statusPublished - Apr 2010

Keywords

  • quadratic error matrix
  • positive operator-valued measurements
  • unbiased basis
  • state estimation

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