Gleason定理的贝叶斯证明
A Bayesian Analogue of Gleason's Theorem
摘要：
我们引入了一个新的概念的概率在量子历史理论，并给出了一个Gleasonesque证明这些任务。这涉及到引入一个尝试性的新的概率公理。我们还讨论了我们如何解释这些广义概率偏序偏好的概念，我们介绍了一个试探性的广义概念香农熵。概率论的贝叶斯方法贯穿始终，因此我们使用的公理将是合理性的最低标准，而不是特设的数学公理。
英文摘要：
We introduce a novel notion of probability within quantum history theories and give a Gleasonesque proof for these assignments. This involves introducing a tentative novel axiom of probability. We also discuss how we are to interpret these generalised probabilities as partially ordered notions of preference and we introduce a tentative generalised notion of Shannon entropy. A Bayesian approach to probability theory is adopted throughout, thus the axioms we use will be minimal criteria of rationality rather than ad hoc mathematical axioms.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
