QUANTUM LIMITS TO INFORMATION ABOUT STATES FOR FINITE DIMENSIONAL HILBERT-SPACE

A refined bound for the correlation information of an N-trial apparatus is developed via an heuristic argument for Hilbert spaces of arbitrary finite dimensionality. Conditional upon the proof of an easily motivated inequality we are then able to find the optimal apparatus for large ensemble quantum inference, thereby solving the asymptotic optimal state determination problem. In this way we are able to identify an alternative inferential uncertainty principle, which is then contrasted with the usual Heisenberg uncertainty principle.