dorsal/arxiv
View SchemaQuantum Joint Distributions
| Authors | Todd A. Oliynyk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304140 |
| URL | https://arxiv.org/abs/quant-ph/0304140 |
Abstract
In this paper we provide a method for constructing joint distributions for an arbitrary set of observables on finite dimensional Hilbert spaces irrespective of whether the observables commute or not. These distributions have a number of desirable properties: they agree with the standard quantum mechanical ones if the observables commute, they also depend continuously on the observables, and under unitary transformations they behave in a reasonable manner.
{
"annotation_id": "8ff01d2e-0e96-4ea8-b6fe-2efde0f25032",
"date_created": "2026-03-02T18:01:59.601000Z",
"date_modified": "2026-03-02T18:01:59.601000Z",
"file_hash": "29ae7910cf267a90f4d6e457eac21037339cf59e302654754dfce3182334a99e",
"private": false,
"record": {
"abstract": "In this paper we provide a method for constructing joint distributions for an\narbitrary set of observables on finite dimensional Hilbert spaces irrespective\nof whether the observables commute or not. These distributions have a number of\ndesirable properties: they agree with the standard quantum mechanical ones if\nthe observables commute, they also depend continuously on the observables, and\nunder unitary transformations they behave in a reasonable manner.",
"arxiv_id": "quant-ph/0304140",
"authors": [
"Todd A. Oliynyk"
],
"categories": [
"quant-ph"
],
"title": "Quantum Joint Distributions",
"url": "https://arxiv.org/abs/quant-ph/0304140"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5f3d585d-1714-4d88-9773-ecb3440aa5df",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}