Article ID Journal Published Year Pages File Type
1899755 Reports on Mathematical Physics 2010 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics