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.
- Positive operator-valued measurements
- Quadratic error matrix
- State estimation
- Unbiased basis
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics