Bayesian prediction of the Gaussian states from n sample

Details Bayesian prediction of the Gaussian states from n sample Bayesian prediction of the Gaussian states from n sample

2005-10-23

arxiv.org/abs/quant-ph/0510176v2

Physics

Quantum Physics

5 pages, no figures. Presented in QIT13; Added appendix

Scientific paper

Recently quantum prediction problem was proposed in the Bayesian framework. It is shown that Bayesian predictive density operators are the best predictive density operators when we evaluate them by using the average relative entropy based on a prior.As an illustrative example, we treat the Gaussian states family adopting the Gaussian distribution as a prior and give the Bayesian predictive density operator with the heterodyne measurement fixed. We show that it is better than the plug-in predictive density operator based on the maximum likelihood estimate by calculating each average relative entropy.

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