Deterministic Underlying States are incompatible with a Counterfactual account of Lüders' rule
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915738564952064 |
|---|---|
| author | Tezzin, Alisson Amaral, Bárbara Hance, Jonte R. |
| author_facet | Tezzin, Alisson Amaral, Bárbara Hance, Jonte R. |
| contents | In this work, we show that a counterfactual account of L"uders' 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00546 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deterministic Underlying States are incompatible with a Counterfactual account of Lüders' rule Tezzin, Alisson Amaral, Bárbara Hance, Jonte R. Quantum Physics Mathematical Physics History and Philosophy of Physics In this work, we show that a counterfactual account of L"uders' 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. |
| title | Deterministic Underlying States are incompatible with a Counterfactual account of Lüders' rule |
| topic | Quantum Physics Mathematical Physics History and Philosophy of Physics |
| url | https://arxiv.org/abs/2502.00546 |