dorsal/arxiv
View SchemaA unified framework for Bell inequalities from continuous-variable contextuality
| Authors | Carlos Ernesto Lopetegui-González, Gaël Massé, Enky Oudot, Uta Isabella Meyer, Federico Centrone, Frédéric Grosshans, Pierre-Emmanuel Emeriau, Ulysse Chabaud, Mattia Walschaers |
|---|---|
| Categories | |
| ArXiv ID | 2601.07686vv1 |
| URL | https://arxiv.org/abs/2601.07686 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Although the original EPR paradox was formulated in terms of position and momentum, most studies of these phenomena have focused on measurement scenarios with only a discrete number of possible measurement outcomes. Here, we present a framework for studying non-locality that is agnostic to the dimension of the physical systems involved, allowing us to probe purely continuous-variable, discrete-variable, or hybrid non-locality. Our approach allows us to find the optimal Bell inequality for any given measurement scenario and quantifies the amount of non-locality that is present in measurement statistics. This formalism unifies the existing literature on continuous-variable non-locality and allows us to identify new states in which Bell non-locality can be probed through homodyne detection. Notably, we find the first example of continuous-variable non-locality that cannot be mapped to a CHSH Bell inequality. Moreover, we provide several examples of simple hybrid DV-CV entangled states that could lead to near-term violation of Bell inequalities.
{
"annotation_id": "5f56696c-c52d-4672-a08a-46fc110610c7",
"date_created": "2026-02-17T05:53:12.481000Z",
"date_modified": "2026-02-17T05:53:12.481000Z",
"file_hash": "228ab9b436eeb30e0851997de34eb2f894533970c455f348101e03c72f39e0c7",
"private": false,
"record": {
"abstract": "Although the original EPR paradox was formulated in terms of position and momentum, most studies of these phenomena have focused on measurement scenarios with only a discrete number of possible measurement outcomes. Here, we present a framework for studying non-locality that is agnostic to the dimension of the physical systems involved, allowing us to probe purely continuous-variable, discrete-variable, or hybrid non-locality. Our approach allows us to find the optimal Bell inequality for any given measurement scenario and quantifies the amount of non-locality that is present in measurement statistics. This formalism unifies the existing literature on continuous-variable non-locality and allows us to identify new states in which Bell non-locality can be probed through homodyne detection. Notably, we find the first example of continuous-variable non-locality that cannot be mapped to a CHSH Bell inequality. Moreover, we provide several examples of simple hybrid DV-CV entangled states that could lead to near-term violation of Bell inequalities.",
"arxiv_id": "2601.07686",
"authors": [
"Carlos Ernesto Lopetegui-Gonz\u00e1lez",
"Ga\u00ebl Mass\u00e9",
"Enky Oudot",
"Uta Isabella Meyer",
"Federico Centrone",
"Fr\u00e9d\u00e9ric Grosshans",
"Pierre-Emmanuel Emeriau",
"Ulysse Chabaud",
"Mattia Walschaers"
],
"categories": [
"quant-ph"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "A unified framework for Bell inequalities from continuous-variable contextuality",
"url": "https://arxiv.org/abs/2601.07686",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e168d47e-b855-4231-b24a-ca3a35fe0b93",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}