Optimization of quantum universal detectors

Details Optimization of quantum universal detectors Optimization of quantum universal detectors

2003-09-22

arxiv.org/abs/quant-ph/0309161v1

in "Proceedings of the 8th Int. Conf. on Squeezed States and Uncertainty Relations", ed. by H. Moya-Cessa et al., (Rinton, Pri

Physics

Quantum Physics

8 pages, no figures. Proceedingsof the 8th International Conference on Squeezed States and Uncertainty Relations ICSSUR' 2003,

Scientific paper

The expectation value of an arbitrary operator O can be obtained via a universal measuring apparatus that is independent of O, by changing only the data-processing of the outcomes. Such a ``universal detector'' performs a joint measurement on the system and on a suitable ancilla prepared in a fixed state, and is equivalent to a positive operator valued measure (POVM) for the system that is ``informationally complete''. The data processing functions generally are not unique, and we pose the problem of their optimization, providing some examples for covariant POVM's, in particular for SU(d) covariance group.

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