Optimal finite measurements and Gauss quadratures
arXiv:quant-ph/0410237 · doi:10.1016/j.physleta.2006.05.045
Abstract
We exhibit measurements for optimal state estimation which have a finite number of outcomes. This is achieved by a connection between finite optimal measurements and Gauss quadratures. The example we consider to illustrate this connection is that of state estimation on $N$ qubits, all in a same pure state. Extensions to state estimation of mixed states are also discussed.
7 pages, 2 figures, paragraph added at the end of the article (extension of the problem to general states)