Noninformativity of priors for quantum inference

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  • 7 March 1997
Abstract
We apply an information-theoretic criterion - based upon associated posterior probability distributions - for determining whether or not one prior probability distribution is more noninformative than another. The priors under consideration are taken to be proportional to the volume elements of different monotone metrics over the two-level quantum systems. A monotone metric associated with Morozova and Chentsov yields a prior more noninformative than either the Kubo-Mori or minimal (symmetric logarithmic derivative) monotone metric. The results support the hypothesis that given two priors A and B based on monotone metrics, A is more noninformative if it assigns greater probability than B to all those two-level systems exceeding some degree of purity.

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