The Bayes cost in the binary decision problem

Details The Bayes cost in the binary decision problem The Bayes cost in the binary decision problem

2011-10-24

arxiv.org/abs/1110.5284v1

Physics

Quantum Physics

3 pages

Scientific paper

The problem of quantum state discrimination between two wave functions with fixed prior is considered. The optimal minimum-error probability for the state discrimination is known to be given by the Helstrom bound. A new strategy is introduced here whereby a series of 'negative-result experiments' a la Renninger is carried out to modify the wave function. The resulting wave function is then probed using a conventional optimal strategy, and the error probability is calculated. It is shown that in some cases the Helstrom bound can be violated, i.e. the state discrimination can be realized with a smaller error probability.

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