The Bundle-Theoretic Structure and Computational Modeling of Quantum Contextuality
We propose a novel mathematical framework, rooted in fiber bundle theory, to quantify the phenomenon of quantum contextuality—a fundamental aspect of quantum entanglement. To demonstrate its utility, we first apply the formalism to quantum models in the foundations of quantum physics that both captu...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/2088 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/2088 |
| Access Level: | acceso abierto |
| Palabra clave: | non-locality and contextuality models of computation fiber bundle theory algebraic topology |
| Sumario: | We propose a novel mathematical framework, rooted in fiber bundle theory, to quantify the phenomenon of quantum contextuality—a fundamental aspect of quantum entanglement. To demonstrate its utility, we first apply the formalism to quantum models in the foundations of quantum physics that both capture and differentiate varying strengths of contextuality. By revealing the intrinsic geometric structure of contextuality, the framework establishes a direct link to its computational foundations, facilitating the formulation of a topology-based model of computation that encapsulates the semantics inherent to contextuality. The framework delivers a rigorous and potentially more profound mathematical characterization of quantum contextuality, while offering new modeling methodologies for quantum cognition. |
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