dorsal/arxiv
View SchemaGeneric Entanglement and Standard Form for N-mode Pure Gaussian States
| Authors | Gerardo Adesso |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606190 |
| URL | https://arxiv.org/abs/quant-ph/0606190 |
| DOI | 10.1103/PhysRevLett.97.130502 |
| Journal | Phys. Rev. Lett. 97, 130502 (2006) |
Abstract
We investigate the correlation structure of pure N-mode Gaussian resources which can be experimentally generated by means of squeezers and beam splitters, whose entanglement properties are generic. We show that those states are specified (up to local unitaries) by N(N-1)/2 parameters, corresponding to the two-point correlations between any pair of modes. Our construction yields a practical scheme to engineer such generic-entangled N-mode pure Gaussian states by linear optics. We discuss our findings in the framework of Gaussian matrix product states of harmonic lattices, raising connections with entanglement frustration and the entropic area law.
{
"annotation_id": "0675661b-71c9-49e9-b04d-42979fadba49",
"date_created": "2026-03-02T18:02:27.390000Z",
"date_modified": "2026-03-02T18:02:27.390000Z",
"file_hash": "562510c0b96ffea1c8e0d46210f4e243550330f7cee1e0917eca1bdda8c4527e",
"private": false,
"record": {
"abstract": "We investigate the correlation structure of pure N-mode Gaussian resources\nwhich can be experimentally generated by means of squeezers and beam splitters,\nwhose entanglement properties are generic. We show that those states are\nspecified (up to local unitaries) by N(N-1)/2 parameters, corresponding to the\ntwo-point correlations between any pair of modes. Our construction yields a\npractical scheme to engineer such generic-entangled N-mode pure Gaussian states\nby linear optics. We discuss our findings in the framework of Gaussian matrix\nproduct states of harmonic lattices, raising connections with entanglement\nfrustration and the entropic area law.",
"arxiv_id": "quant-ph/0606190",
"authors": [
"Gerardo Adesso"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"math-ph",
"math.MP",
"physics.optics"
],
"doi": "10.1103/PhysRevLett.97.130502",
"journal_ref": "Phys. Rev. Lett. 97, 130502 (2006)",
"title": "Generic Entanglement and Standard Form for N-mode Pure Gaussian States",
"url": "https://arxiv.org/abs/quant-ph/0606190"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "18c61bc9-6a64-4e41-9f35-375c22bb83af",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}