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On quantum statistical inference

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Summary.

Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, developments in the theory of quantum measurements have brought the basic mathematical framework for the probability calculations much closer to that of classical probability theory. The present paper reviews this field and proposes and interrelates some new concepts for an extension of classical statistical inference to the quantum context.
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Keywords: Quantum cuts; Quantum exponential family; Quantum information; Quantum measurements; Quantum score; Quantum statistical models; Quantum sufficiency; Quantum transformation model; Spin half

Document Type: Research Article

Publication date: November 1, 2003

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