arXiv subjects

Bernhard Meister

Publications and source records attributed to Bernhard Meister.

2 recordsLinked to original sources

arXiv1995

Minimum Decision Cost for Quantum Ensembles

For a given ensemble of $N$ independent and identically prepared particles, we calculate the binary decision costs of different strategies for measurement of polarised spin 1/2 particles. The result proves that, for any given values of the prior probabilities and any number of constituent particles, the cost for a combined measurement is always less than or equal to that for any combination of separate measurements upon sub-ensembles. The Bayes cost, which is that associated with the optimal strategy (i.e., a combined measurement) is obtained in a simple closed form.

quant-ph↗

arXiv1993

Sharpened Information-Theoretic Uncertainty Relations and the Histories Approach to Quantum Mechanics

In this paper alternative formulations of the conventional uncertainty relation are studied in the context of decoherent histories. The results are given in terms of Shannon information. A variety of methods are developed to evaluate the upper bound for the probability of two or more projection histories. The methods employed give improved limits for the maximal achievable probability and an improved lower bound for the Shannon information. The results are then applied to a number of physically relevant situations.

hep-th↗