经典魔鬼与量子天使--论特霍夫特的决定论量子力学

辛骆驼与量子万有不变量：几何天使与代数恶魔

The Symplectic Camel and Quantum Universal Invariants: the Angel of Geometry vs. the Demon of Algebra

一个正定对称矩阵σ有资格作为量子力学协方差矩阵当且仅当σ+（1/2）i \hbar Ω \geq 0其中Ω是标准辛矩阵。这个著名的条件是不确定原理的一个强版本，它可以用与格罗莫夫的非压缩定理密切相关的辛容量的拓扑概念来重新解释。我们表明，最近的改进，后者导致一类新的几何不变量。这些是协方差椭球在相空间的辛子空间上的正交投影的体积。我们比较这些几何不变量的代数“通用量子不变量”的Dodonov和Serafini。

型IV 't Hooft异常在格点上的研究：涌现的更高范畴对称性及其在LSM系统中的应用

Type-IV 't Hooft Anomalies on the Lattice: Emergent Higher-Categorical Symmetries and Applications to LSM Systems

本文研究格点模型中型IV 't Hooft异常的涌现对称性，揭示了2群、非可逆及更高融合范畴对称性的出现，并探讨其在LSM系统中的应用。

Elements of reality in quantum mechanics

The notion of the Einstein-Podolsky-Rosen (EPR) "element of reality" is much discussed in the literature on the foundations of quantum mechanics. Recently, it has become particularly relevant due to a proposed criterion of the physical reality of a given quantum mechanical observable [A. L. O. Bilobran and R. M. Angelo, Europhys. Lett. 112, 40005 (2015)]. We examine this proposal and its consequently related measure of non-locality [V. S. Gomez and R. M. Angelo, Phys. Rev. A 97, 012123, (2018)] and argue that the criterion is ill-described as quantifying physical reality without introducing se…

Simulating Quantum Mechanics with a $θ$-term and an 't Hooft Anomaly on a Synthetic Dimension

A topological $θ$-term in gauge theories, including quantum chromodynamics in 3+1 dimensions, gives rise to a sign problem that makes classical Monte Carlo simulations impractical. Quantum simulations are not subject to such sign problems and are a promising approach to studying these theories in the future. In the near term, it is interesting to study simpler models that retain some of the physical phenomena of interest and their implementation on quantum hardware. For example, dimensionally-reducing gauge theories on small spatial tori produces quantum mechanical models which, despite being …

关于“涌现量子力学与涌现对称”中存在定理的注记

Note on the existence theorem in ``Emergent Quantum Mechanics and Emergent Symmetries''

最近，特胡夫特证明了“对于任何量子系统，至少存在一个确定性模型，在预量子化后再现其所有动力学”。这里提出了一个扩展，它涵盖了量子系统的特点是一个完整的一套相互交换厄米算子（“beables”）。我们引入了beables的对称性：任何一个beables的完备集都与通过实的一般线性群变换得到的另一个beables的完备集一样好。在确定性模型中，特定集合的量子数与对称破缺的初始条件和边界条件有关。特别是哈密顿量，可以被看作是提供模型宇宙演化的最佳分辨率的涌现函数。

连续非对易测量下经典实在性的涌现

Emergence of classical realism under successive noncommuting measurements

本文提出一种新机制，通过连续监测非对易可观测量确立实在性元素，证明足够多次不相容测量可使一般系统涌现经典性，无需依赖大储库退相干。