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Quantum Physics

arXiv:1812.08646v1 (quant-ph)
[Submitted on 20 Dec 2018 (this version) , latest version 13 Mar 2019 (v2) ]

Title: Roots and (re)sources of value (in)definiteness {\it versus} contextuality. A contribution to the Pitowsky Volume in memory of Itamar Pitowsky (1950--2010)

Title: 值(不)确定性的根与(再)来源 在{\it 与}具体性上下文中的情况。 对皮托夫斯基文集的贡献,以纪念伊塔马尔·皮托夫斯基(1950--2010)

Authors:Karl Svozil
Abstract: In Itamar Pitowsky's reading of the Gleason and the Kochen-Specker theorems, in particular, his Logical Indeterminacy Principle, the emphasis is on the value indefiniteness of observables which are not within the preparation context. This is in stark contrast to the prevalent term {\em contextuality} used by many researchers in informal, heuristic yet omni-realistic and potentially misleading ways. This paper discusses both concepts and argues in favor of value indefiniteness in all but a single quantum context, defined by a maximal observable, or in terms of its spectral decomposition as the associated orthonormal basis.
Abstract: 在伊塔马尔·皮托夫斯基对格莱森定理和科赫-斯皮尔伯格定理的解读中,特别是他的逻辑不确定性原理,重点在于那些不在制备上下文中的可观测量的值不确定性。 这与许多研究人员以非正式、启发式但普遍现实且可能产生误导的方式使用的术语{\em 非定域性}形成鲜明对比。 本文讨论了这两种概念,并支持除由最大可观测量定义的单一量子上下文外的所有情况下的值不确定性,或根据其谱分解作为相关正交基来定义。
Subjects: Quantum Physics (quant-ph)
Cite as: arXiv:1812.08646 [quant-ph]
  (or arXiv:1812.08646v1 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.1812.08646
arXiv-issued DOI via DataCite

Submission history

From: Karl Svozil [view email]
[v1] Thu, 20 Dec 2018 15:49:24 UTC (33 KB)
[v2] Wed, 13 Mar 2019 13:36:03 UTC (36 KB)
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