Quantum estimation of the operators of a system is investigated by analyzin
g its Liouville space of operators. In this way it is possible to easily de
rive some general characterizations for the sets of observables (i.e., the
possible quorums) that are measured for the quantum estimation. In particul
ar we analyze the reconstruction of operators of spin systems. (C) 2000 Els
evier Science B.V. All rights reserved.