Non-deterministic semantics for quantum states
Quantum Physics
2020-02-19 v3
Abstract
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 to 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.
Cite
@article{arxiv.1906.03413,
title = {Non-deterministic semantics for quantum states},
author = {Juan Pablo Jorge and Federico Holik},
journal= {arXiv preprint arXiv:1906.03413},
year = {2020}
}