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报告主题:  Quantum Bayes' rule and Petz transpose map from the minimum change principle

报 告 人:  柏舸

报告时间： 2025年3月19日（星期三）下午04:30-05:30

报告地点： 37号楼3A02

邀 请 人:  郑驻军 教授

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数学学院

2025年3月14日

报告摘要：

Bayes' rule, which is routinely used to update beliefs based on new evidence, can be derived from a principle of minimum change. This principle states that updated beliefs must be consistent with new data, while deviating minimally from the prior belief. Here, we introduce a quantum analog of the minimum change principle and use it to derive a quantum Bayes' rule by minimizing the change between two quantum input-output processes, not just their marginals. This is analogous to the classical case, where Bayes' rule is obtained by minimizing several distances between the joint input-output distributions. When the change maximizes the fidelity, the quantum minimum change principle has a unique solution, and the resulting quantum Bayes' rule recovers the Petz transpose map in many cases.