Our work aims at describing and investigate a deep connection between the well-known logical interpretation of quantum mechanics, introduced by Birkhoff and von Neumann (and developed by Piron and Jauch in the 70s) and a set of powerful mathematical tools as hypergroups, hyperfields and matroids. Our results potentially represent an interesting reformulation of the theory of quantum logic, particularly useful for algorithm-oriented applications, as well as stimulate new challenging mathematical problems.
On the deep connection between hyperstructures and quantum logic
N. Cangiotti;
2023-01-01
Abstract
Our work aims at describing and investigate a deep connection between the well-known logical interpretation of quantum mechanics, introduced by Birkhoff and von Neumann (and developed by Piron and Jauch in the 70s) and a set of powerful mathematical tools as hypergroups, hyperfields and matroids. Our results potentially represent an interesting reformulation of the theory of quantum logic, particularly useful for algorithm-oriented applications, as well as stimulate new challenging mathematical problems.File in questo prodotto:
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