info:eu-repo/semantics/article
Non-deterministic Semantics for Quantum States
Fecha
2020-01-28Registro en:
Jorge, Juan Pablo; Holik, Federico Hernán; Non-deterministic Semantics for Quantum States; Multidisciplinary Digital Publishing Institute; Entropy; 22; 2; 28-1-2020; 1-26
1099-4300
CONICET Digital
CONICET
Autor
Jorge, Juan Pablo
Holik, Federico Hernán
Resumen
In this work, we discuss the failure of the principle of truth functionality in the quantum formalism. By exploiting this failure, we import the formalism of N-matrix theory and non-deterministic semantics to the foundations of quantum mechanics. This is done by describing quantum states as particular valuations associated with infinite non-deterministic truth tables. This allows us to introduce a natural interpretation of quantum states in terms of a non-deterministic semantics. We also provide a similar construction for arbitrary probabilistic theories based in orthomodular lattices, allowing to study post-quantum models using logical techniques.