Informationally complete measurements and groups representation

Details Informationally complete measurements and groups representation Informationally complete measurements and groups representation

2003-10-02

arxiv.org/abs/quant-ph/0310013v2

J. Opt. B: Quantum and Semicl. Optics, vol. 6, S487 (2004).

Physics

Quantum Physics

9 pages, no figures, IOP style. Some new references added

Scientific paper

10.1088/1464-4266/6/6/005

Informationally complete measurements on a quantum system allow to estimate the expectation value of any arbitrary operator by just averaging functions of the experimental outcomes. We show that such kind of measurements can be achieved through positive-operator valued measures (POVM's) related to unitary irreducible representations of a group on the Hilbert space of the system. With the help of frame theory we provide a constructive way to evaluate the data-processing function for arbitrary operators.

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