dorsal/arxiv
View SchemaA characterization of global entanglement
| Authors | Peter J. Love, Alec Maassen van den Brink, A. Yu. Smirnov, M. H. S. Amin, M. Grajcar, E. Il'ichev, A. Izmalkov, A. M. Zagoskin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602143 |
| URL | https://arxiv.org/abs/quant-ph/0602143 |
Abstract
We define a set of $2^{n-1}-1$ entanglement monotones for $n$ qubits and give a single measure of entanglement in terms of these. This measure is zero except on globally entangled (fully inseparable) states. This measure is compared to the Meyer-Wallach measure for two, three, and four qubits. We determine the four-qubit state, symmetric under exchange of qubit labels, which maximizes this measure. It is also shown how the elementary monotones may be computed as a function of observable quantities. We compute the magnitude of our measure for the ground state of the four-qubit superconducting experimental system investigated in [M. Grajcar et al., Phys. Rev. Lett._96_, 047006 (2006)], and thus confirm the presence of global entanglement in the ground state.
{
"annotation_id": "f9e63cbc-9b8b-466d-890a-bc2812e83f27",
"date_created": "2026-03-02T18:02:24.136000Z",
"date_modified": "2026-03-02T18:02:24.136000Z",
"file_hash": "b41981ad865beb0305ad65c1987ce89316dc1ed554721670825f2276cdca70e5",
"private": false,
"record": {
"abstract": "We define a set of $2^{n-1}-1$ entanglement monotones for $n$ qubits and give\na single measure of entanglement in terms of these. This measure is zero except\non globally entangled (fully inseparable) states. This measure is compared to\nthe Meyer-Wallach measure for two, three, and four qubits. We determine the\nfour-qubit state, symmetric under exchange of qubit labels, which maximizes\nthis measure. It is also shown how the elementary monotones may be computed as\na function of observable quantities. We compute the magnitude of our measure\nfor the ground state of the four-qubit superconducting experimental system\ninvestigated in [M. Grajcar et al., Phys. Rev. Lett._96_, 047006 (2006)], and\nthus confirm the presence of global entanglement in the ground state.",
"arxiv_id": "quant-ph/0602143",
"authors": [
"Peter J. Love",
"Alec Maassen van den Brink",
"A. Yu. Smirnov",
"M. H. S. Amin",
"M. Grajcar",
"E. Il\u0027ichev",
"A. Izmalkov",
"A. M. Zagoskin"
],
"categories": [
"quant-ph"
],
"title": "A characterization of global entanglement",
"url": "https://arxiv.org/abs/quant-ph/0602143"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8c60ee23-f8ff-4083-812d-5b5191b6a682",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}