Optimization of quantum universal detectors
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The expectation value <O> 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.
8 pages, no figures. Proceedingsof the 8th International Conference on Squeezed States and Uncertainty Relations ICSSUR' 2003, Puebla, Mexico - June 9-13, 2003
8 pages, no figures. Proceedingsof the 8th International Conference on Squeezed States and Uncertainty Relations ICSSUR' 2003, Puebla, Mexico - June 9-13, 2003