扩展概率下Leggett-Garg不等式与Bell-CHSH不等式推广的无违例性
No violation on a generalisation of Leggett-Garg inequality and Bell-CHSH inequality with extended probability
浏览论文内容
中文总结 AI 辅助
本文用扩展概率替代经典概率，推广LGI和Bell-CHSH不等式，使推广不等式在任意测量下无违例，并引入推广的宏观与局部实在性，助力理解量子系统的经典性质。
中文摘要 AI 辅助
本文通过将经典概率概念替换为扩展概率概念，提出了Leggett-Garg不等式（LGI）和Bell-CHSH不等式的推广。扩展概率作为经典概率的潜在现实底层。在一致历史框架内，该底层被称为不可定居历史。因此，LGI和Bell-CHSH不等式的界限被扩展。所得推广不等式在任意测量设置下均满足且无违例。此外，在扩展概率框架内，无需依赖显式测量，引入了推广的宏观实在性和推广的局部实在性并加以分析。这为物理学中的一大追求——理解量子系统如何拥有经典性质——开辟了进一步的可能性。
英文摘要
A generalisation of the Leggett-Garg inequality (LGI) and the Bell-CHSH inequality is proposed in this work, by replacing a classical probability notion with an extended probability notion. The extended probability serves as an underlying layer of reality to the classical probability. Within the consistent history framework, the underlying layer is so-called a non-settleable history. Hence, the bounds of the LGIs and Bell-CHSH inequalities are extended. The resulting generalised inequalities are satisfied without violation for arbitrary measurement settings. Furthermore, generalised Macro- realism and generalised Local realism are introduced and analysed within the extended probability framework without relying on an explicit measurement. This opens up further possibilities on one of the great pursuits in physics, understanding on how a quantum system can possess classical properties.
发表机构
- The Institute for Fundamental Study (IF), Naresuan University（那黎宣大学基础研究所）
机构由 AI 辅助整理，请以论文原文为准。
