确定性本征态与卢德斯规则的反事实解释不相容
Deterministic Underlying States are incompatible with a Counterfactual account of Lüders' rule
AI总结：
本文证明确定性本征态模型与卢德斯规则的反事实解释不相容，因条件概率更新要求本体模型必须满足兼容性与模型存在性的等价关系。
摘要：
在本工作中，我们展示了一个卢德斯规则的反事实解释——我们主张这种解释自然地由规则本身的数学结构所暗示——排除了量子力学的本征态模型（一种隐变量模型，通常用于本体论和非局域性文献中，其中量子态被视为对『更明确状态』的概率测度）。这种不相容性出现的原因是，反事实更新要求本体模型根据条件概率更新其状态，这又建立了兼容性与此类模型存在性的等价关系。
英文摘要：
In this work, we show that a counterfactual account of L"uders' rule -- which we argue is naturally implied by the mathematical structure of the rule itself -- rules out underlying-state models of quantum mechanics (a type of hidden-variable model, typically used in the contextuality and nonlocality literature, where quantum states are treated as probability measures over ``better-defined states''). This incompatibility arises because the counterfactual update requires ontological models to update their states according to conditional probability, which in turn establishes an equivalence between compatibility and the existence of such models.
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。
