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Abstract: We present a novel quantum tomographic reconstruction method based onBayesian inference via the Kalman filter update equations. The method not onlyyields the maximum likelihood-optimal Bayesian reconstruction, but also acovariance matrix expressing the measurement uncertainties in a complete way.From this covariance matrix the error bars on any derived quantity can beeasily calculated. This is a first step towards the broader goal of devising anomnibus reconstruction method that could be adapted to any tomographic setupwith little effort and that treats measurement uncertainties in a statisticallywell-founded way.In this first part we restrict ourselves to the important subclass oftomography based on measurements with discrete outcomes as opposed tocontinuous ones, and we also ignore any measurement imperfections darkcounts, less than unit detector efficiency, etc., which will be treated in afollow-up paper. We illustrate our general theory on real tomographyexperiments of quantum optical information processing elements.



Autor: Koenraad M.R. Audenaert, S. Scheel

Fuente: https://arxiv.org/







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