Optimal finite measurements and Gauss quadratures

Details Optimal finite measurements and Gauss quadratures Optimal finite measurements and Gauss quadratures

2004-10-28

arxiv.org/abs/quant-ph/0410237v2

Physics Letters A, 358(5-6):368-372, 2006.

Physics

Quantum Physics

7 pages, 2 figures, paragraph added at the end of the article (extension of the problem to general states)

Scientific paper

10.1016/j.physleta.2006.05.045

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.

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