Degrees, Levels, and Profiles of Contextuality
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914524846620672 |
|---|---|
| author | Dzhafarov, Ehtibar N. Cervantes, Victor H. |
| author_facet | Dzhafarov, Ehtibar N. Cervantes, Victor H. |
| contents | We introduce a new notion, that of a contextuality profile of a system of random variables. Rather than characterizing a system's contextuality by a single number, its overall degree of contextuality, we show how it can be characterized by a curve relating degree of contextuality to level at which the system is considered. A system is represented at level n if one only considers the joint distributions with no more than n variables, ignoring higher-order joint distributions. We show that the level-wise contextuality analysis can be used in conjunction with any well-constructed measure of contextuality. We present a method of concatenated systems to explore contextuality profiles systematically, and we apply it to the contextuality profiles for three major measures of contextuality proposed in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26692 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Degrees, Levels, and Profiles of Contextuality Dzhafarov, Ehtibar N. Cervantes, Victor H. Quantum Physics Artificial Intelligence Probability 81P13, 81Q99, 60A99 We introduce a new notion, that of a contextuality profile of a system of random variables. Rather than characterizing a system's contextuality by a single number, its overall degree of contextuality, we show how it can be characterized by a curve relating degree of contextuality to level at which the system is considered. A system is represented at level n if one only considers the joint distributions with no more than n variables, ignoring higher-order joint distributions. We show that the level-wise contextuality analysis can be used in conjunction with any well-constructed measure of contextuality. We present a method of concatenated systems to explore contextuality profiles systematically, and we apply it to the contextuality profiles for three major measures of contextuality proposed in the literature. |
| title | Degrees, Levels, and Profiles of Contextuality |
| topic | Quantum Physics Artificial Intelligence Probability 81P13, 81Q99, 60A99 |
| url | https://arxiv.org/abs/2603.26692 |