隐藏变量,自由选择,上下文独立以及所有这些
1Department of Psychological Sciences, Purdue University, West Lafayette, IN, USA.
概括
具有排他性语境的随机变量隐藏变量模型 (HVM) 是同等且不可伪造的. 这意味着选择的自由和上下文独立的映射不是假设,揭示了对非上下文性的洞察力.
科学领域:
- 量子力学就是量子力学.
- 概率学的基础.
- 信息理论是信息理论.
背景情况:
- 隐藏变量模型 (HVM) 用于描述随机变量的系统.
- 这些模型通常涉及自由选择和上下文依赖映射等概念.
- 在量子力学和哲学中,理解上下文性至关重要.
研究的目的:
- 为具有相互排斥的环境的系统提供隐藏变量模型 (HVM) 的系统化解释.
- 分析某些HVM的等价性和不可伪造性的影响.
- 定义一个可伪造的HVM,捕捉非上下文性.
主要方法:
- 对两种类型的HVM进行系统分析:自由选择与上下文依赖映射,以及上下文独立映射与受损的自由选择.
- 证明这些HVM的等价性和不可伪造性.
- 基于选择自由和上下文独立映射的结合,定义一个可伪造的HVM.
主要成果:
- 所有具有相互排斥的环境的系统都可以用同等的,不可伪造的HVM来描述.
- 相当性和不可伪造性表明,选择自由和上下文独立的映射不是限制性假设.
- 对于非上下文系统,定义了一个可伪造的HVM,称为"上下文无关".
结论:
- 这项研究阐明了HVM选择自由的性质和取决于环境的影响.
- 它确立了某些HVM是不可伪造的,没有提供经验约束.
- "上下文无关"的概念为非上下文性提供了一个可伪造的框架.
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