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On Quantum Event Structures Part I: The Categorical Scheme |
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| Authors: | Elias Zafiris |
| Affiliation: | (1) Fundamental Research Unit, LS 50 TAX PZ, STG 915 Evros, Greece;(2) Theoretical Physics Group, The Blackett Laboratory, Imperial College, London, SW7 2BZ, United Kingdom |
| Abstract: | In this paper a mathematical scheme for the analysis of quantum event structures is being proposed based on category theoretical methods. It is shown that there exists an adjunctive correspondence between Boolean presheaves of event algebras and quantum event algebras. The adjunction permits a characterization of quantum event structures as Boolean manifolds of event structures. |
| Keywords: | quantum structure Boolean localization systems categorical adjunction |
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