2007•AIP conference proceedingsRequires access

Bayesian versus Frequentist Predictions in Quantum Tomography

Rüdiger Schack

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Abstract

This short paper is a reply to Andrei Khrennikov’s challenge to give a concrete quantum‐mechanical example where the Bayesian and frequentist approaches to probability lead to different predictions. The paper first reviews the difference between the Bayesian and frequentist approaches to hypothesis testing and then presents a simple example in quantum tomography for which Bayesian and frequentist predictions differ.

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What this paper is about

This short paper is a reply to Andrei Khrennikov’s challenge to give a concrete quantum‐mechanical example where the Bayesian and frequentist approaches to probability lead to different predictions. The paper first reviews the difference between the Bayesian and frequentist approaches to hypothesis testing and then presents a simple example in quantum tomography for which Bayesian and frequentist predictions differ.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This short paper is a reply to Andrei Khrennikov’s challenge to give a concrete quantum‐mechanical example where the Bayesian and frequentist approaches to probability lead to different predictions. The paper first reviews the difference between the Bayesian and frequentist approaches to hypothesis testing and then presents a simple example in quantum tomography for which Bayesian and frequentist predictions differ.

Key concepts: Frequentist inference, Bayesian probability, Frequentist probability, Computer science, Bayesian inference, Quantum, Statistical physics, Algorithm

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