An implementation of the generalized coherent-state measurements

Generalized coherent-states are a beautiful theoretical tool for describing quantum systems with Lie group symmetries. The POVM of projectors onto the continuum of generalized coherent-states is also known to be the optimal measurement for estimating unknown states given multiple copies. However, it has been thought that this POVM is in general not practical to realize. We show how one can in principle realize this POVM by a sequence of isotropic weak measurements.