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arXiv 1107.0833quant-phmath-phmath.MP
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量子公理学:状态属性系统的拓扑和经典性质

Quantum Axiomatics: Topological and Classical Properties of State Property Systems

Diederik Aerts, Bart D'Hooghe, Mark Sioen

摘要:

“经典状态”的定义,以及它在早期的工作中是如何被用来证明一个分解定理内部的语言状态属性系统,预先假定作为一个额外的数据orthocomplementation的属性格的物理系统。在本文中,我们认为,在庞加莱领域的ε模型的基础上,一个概念的“拓扑”的国家可以被看作是一个替代(操作上成立)的经典概念,在没有正交互补,并比较它与已知的和操作上成立的概念的经典。

英文摘要:

The definition of 'classical state', and how it was used in earlier work to prove a decomposition theorem internally in the language of State Property Systems, presupposes as an additional datum an orthocomplementation on the property lattice of a physical system. In this paper we argue on the basis of the epsilon-model on the Poincare sphere that a notion of 'topologicity' for states can be seen as an alternative (operationally foundable) classicality notion in the absence of an orthocomplementation, and compare it to the known and operationally founded concept of classicality.

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。

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