Incompatibility of deterministic underlying states with a counterfactual account of Lüders' rule
Year: 2025
Type: article
Abstract: In this work, we show that a counterfactual account of Lüders' rule—which we argue is naturally implied by the mathematical structure of the rule itself—rules out underlying-state models of quantum mechanics (a type of hidden-variable model, typically used in the contextuality and nonlocality literature, where quantum states are treated as probability measures over “better-defined states”). This incompatibility arises because the counterfactual update requires ontological models to update their states according to conditional probability, which in turn establishes an equivalence between compatibility and the existence of such models.
Source: Physical Review A
DOI: 10.1103/mrqr-sdyf
Authors: Alisson Tezzin, Bárbara Amaral, Jonte R. Hance
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,675
Funders: UK Research and Innovation, Fundação de Amparo à Pesquisa do Estado de São Paulo, Ministério da Ciência, Tecnologia e Inovação, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Instituto Serrapilheira, Empresa Brasileira de Pesquisa e Inovação Industrial, Engineering and Physical Sciences Research Council
OpenAlex ID: W4416083785