dorsal/arxiv
View SchemaQuantumness without quantumness: entanglement as classical correlations in higher dimensions
| Authors | Vlatko Vedral |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701101 |
| URL | https://arxiv.org/abs/quant-ph/0701101 |
| DOI | 10.1080/09500340701266922 |
Abstract
I exploit the formal equivalence between the ground state of a $d$ dimensional quantum system and a d+1 dimensional classical Ising chain to represent quantum entanglement in terms of classical correlations only. This offers a general "local hidden variable model" for all quantum phenomena existing in one dimension lower than the (hidden variable) classical model itself. The local hidden variable model is not contradicted by the implications of Bell's theorem. Formal theory is presented first and then exemplified by the quantum Ising spin chain in a transverse magnetic field. Here I explicitely show how to derive any two site entanglement in the transverse model from the partition function of the classical Ising spin chain existing in two dimensions. Some speculations are then presented regarding possible fundamental implications of these results.
{
"annotation_id": "e7104ace-ee03-4ec2-8ab0-6d1c22d64835",
"date_created": "2026-03-02T18:02:33.573000Z",
"date_modified": "2026-03-02T18:02:33.573000Z",
"file_hash": "2ba69eff440be3296e9a282ff054b4e91b2ed06531d9279d6a7fe7a4be03e924",
"private": false,
"record": {
"abstract": "I exploit the formal equivalence between the ground state of a $d$\ndimensional quantum system and a d+1 dimensional classical Ising chain to\nrepresent quantum entanglement in terms of classical correlations only. This\noffers a general \"local hidden variable model\" for all quantum phenomena\nexisting in one dimension lower than the (hidden variable) classical model\nitself. The local hidden variable model is not contradicted by the implications\nof Bell\u0027s theorem. Formal theory is presented first and then exemplified by the\nquantum Ising spin chain in a transverse magnetic field. Here I explicitely\nshow how to derive any two site entanglement in the transverse model from the\npartition function of the classical Ising spin chain existing in two\ndimensions. Some speculations are then presented regarding possible fundamental\nimplications of these results.",
"arxiv_id": "quant-ph/0701101",
"authors": [
"Vlatko Vedral"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/09500340701266922",
"title": "Quantumness without quantumness: entanglement as classical correlations in higher dimensions",
"url": "https://arxiv.org/abs/quant-ph/0701101"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "66cd0035-fc34-4fb1-9a88-cb0ffc96cdaa",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}