Foundations of Physics ( IF 1.2 ) Pub Date : 2021-03-04 , DOI: 10.1007/s10701-021-00409-0 Carsten Held
A hidden-variable model for quantum–mechanical spin, as represented by the Pauli spin operators, is proposed for systems illustrating the well-known no-hidden-variables arguments by Peres (Phys Lett A 151:107–108, 1990) and Mermin (Phys Rev Lett 65:3373–3376, 1990) and by Greenberger et al. (Bell’s theorem, quantum theory, and conceptions of the universe, Kluwer, Dordrecht, 1989). Both arguments rely on an assumption of non-contextuality; the latter argument can also be phrased as a non-locality argument, using a locality assumption. The model suggested here is compatible with both assumptions. This is possible because the scalar values of spin observables are replaced by vectors that are components of orientations.
中文翻译:
Peres–Mermin和Greenberger–Horne–Zeilinger系统的非上下文和局部隐藏变量模型
以Pauli自旋算子为代表的量子力学自旋的隐变量模型被提出用于说明Peres(Phys Lett A 151:107-108,1990)和Mermin的著名的无隐变量论证的系统。 (Phys Rev Lett 65:3373-3376,1990)和Greenberger等人。(贝尔定理,量子理论和宇宙概念,克鲁维尔,多德雷赫特,1989年)。两种论点都基于非上下文的假设。使用局部性假设,后一个自变量也可以表述为非局部性自变量。这里建议的模型与两个假设都兼容。这是可能的,因为自旋可观测量的标量值已被作为方向分量的向量所替代。