CEU Electronic Theses and Dissertations, 2009
| Author | Baier, Thomas |
|---|---|
| Title | A state estimation scheme for finite quantum systems |
| Summary | The estimation of the state of a finite quantum system is studied. It is assumed that N identical copies of the unknown state are at hand and statistical data is obtained from different separate measurements. Complementary (or quasi-orthogonal) measurements, defined by an orthogonality relation, play a special role among separate measurements. Motivated by recent results on the existence of certain complementary subalgebras, the effect of complementarity of the measurements on the state estimation procedure is examined. For an unconstrained estimate optimality is shown for finite sample sizes, and for a constrained estimate, that always gives approvable results, optimality is shown in the limit of large N. |
| Supervisor | Petz, Dénes |
| Department | Mathematics PhD |
| Full text | https://www.etd.ceu.edu/2009/tphbat01.pdf |
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