*Result*: On the deep connection between hyperstructures and quantum logic
Title:
On the deep connection between hyperstructures and quantum logic
Authors:
Contributors:
Cangiotti, N., Linzi, A.
Publication Year:
2023
Collection:
RE.PUBLIC@POLIMI - Research Publications at Politecnico di Milano
Subject Terms:
Document Type:
*Conference*
conference object
File Description:
ELETTRONICO
Language:
English
Relation:
ispartofbook:20th International Conference on Quantum Physics and Logic (QPL 2023); 20th International Conference on Quantum Physics and Logic (QPL 2023); https://hdl.handle.net/11311/1246838
Availability:
Rights:
info:eu-repo/semantics/openAccess
Accession Number:
edsbas.2B0C9C4F
Database:
BASE
*Further Information*
*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.*