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

• URL: http://arxiv.org/abs/2403.17941v1
• Date: Thu, 25 Jan 2024 08:17:22 GMT
• Title: Entanglement of temporal sections as quantum histories and their quantum correlation bounds
• Authors: Marcin Nowakowski,
• Abstract summary: We consider quantum history bundles based on the temporal manifold and show the source of violation of monogamous temporal Bell-like inequalities. As a generalization of temporal Bell-like inequalities, we derive the quantum bound for multi-time Bell-like inequalities.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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