Complementarity and state estimation

Thomas Baier, D. Petz

Research output: Contribution to journalArticle

4 Citations (Scopus)

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

Fingerprint

state estimation
Complementarity
Positive Operator
State Estimation
operators
orthogonality
Orthogonality
determinants
Determinant
matrices
Concepts

Keywords

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

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Complementarity and state estimation. / Baier, Thomas; Petz, D.

In: Reports on Mathematical Physics, Vol. 65, No. 2, 04.2010, p. 203-214.

Research output: Contribution to journalArticle

Baier, Thomas ; Petz, D. / Complementarity and state estimation. In: Reports on Mathematical Physics. 2010 ; Vol. 65, No. 2. pp. 203-214.
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