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arXiv · 2403.17941

Entanglement of temporal sections as quantum histories and their quantum correlation bounds

Marcin Nowakowski
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Abstract

In this paper we focus on the underlying quantum structure of temporal correlations and show their peculiar nature which differentiate them from spatial quantum correlations. With a growing interest in representation of quantum states as topological objects, we consider quantum history bundles based on the temporal manifold and show the source of 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.

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Marcin Nowakowski. 2024-01-25. Entanglement of temporal sections as quantum histories and their quantum correlation bounds. https://doi.org/10.3390/e26030198

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