Informationally complete measurements and groups representation
量子物理
2007-05-23 v2
摘要
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.
引用
@article{arxiv.quant-ph/0310013,
title = {Informationally complete measurements and groups representation},
author = {G. M. D'Ariano and P. Perinotti and M. F. Sacchi},
journal= {arXiv preprint arXiv:quant-ph/0310013},
year = {2007}
}
备注
9 pages, no figures, IOP style. Some new references added