Nowakowski Marcin
Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, 80-233 Gdańsk, Poland.
National Quantum Information Center, 80-309 Gdańsk, Poland.
Entropy (Basel). 2024 Feb 26;26(3):198. doi: 10.3390/e26030198.
In this paper, we focus on the underlying quantum structure of temporal correlations and show their peculiar nature which differentiates them from spatial quantum correlations. With a growing interest in the representation of quantum states as topological objects, we consider quantum history bundles based on the temporal manifold and show the source of the violation of monogamous temporal Bell-like inequalities. We introduce definitions for the mixture of quantum histories and consider their entanglement as sections over the Hilbert vector bundles. As a generalization of temporal Bell-like inequalities, we derive the quantum bound for multi-time Bell-like inequalities.
在本文中，我们专注于时间关联的潜在量子结构，并展示它们与空间量子关联不同的独特性质。随着将量子态表示为拓扑对象的兴趣日益增长，我们考虑基于时间流形的量子历史丛，并展示违反一夫一妻制时间类贝尔不等式的根源。我们引入量子历史混合的定义，并将它们的纠缠视为希尔伯特向量丛上的截面。作为时间类贝尔不等式的推广，我们推导了多次类贝尔不等式的量子界。
