Optimal State Determination: A Conjecture
We consider state determination of simple quantum systems in non-relativistic quantum mechanics. Assuming that the ensemble in some unknown state is available in a sufficient number of replicas, it is possible to perform a state determination from the resultes of different, mutually noncom-mutative, measurements each one performed on a replica of the ensemble. In particulare, state determination is possible from the resultes of measurements of spin, position and energy. In the case of a finite collection of quantum systems any state determination is a finit sequence of measurements and their results and we conjecture that an optimal procedure may exist
KeywordsOptimal Procedure Unknown State State Determination Admissible State Dimensional Hilbert Space
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