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 language | English |
|---|---|
| Pages (from-to) | 203-214 |
| Number of pages | 12 |
| Journal | Reports on Mathematical Physics |
| Volume | 65 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Apr 2010 |
Keywords
- quadratic error matrix
- positive operator-valued measurements
- unbiased basis
- state estimation
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