dorsal/arxiv
View SchemaEntangled three-qubit states without concurrence and three-tangle
| Authors | Robert Lohmayer, Andreas Osterloh, Jens Siewert, Armin Uhlmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606071 |
| URL | https://arxiv.org/abs/quant-ph/0606071 |
| DOI | 10.1103/PhysRevLett.97.260502 |
| Journal | Phys. Rev. Lett. 97, 260502 (2006) |
Abstract
We provide a complete analysis of mixed three-qubit states composed of a GHZ state and a W state orthogonal to the former. We present optimal decompositions and convex roofs for the three-tangle. Further, we provide an analytical method to decide whether or not an arbitrary rank-2 state of three qubits has vanishing three-tangle. These results highlight intriguing differences compared to the properties of two-qubit mixed states, and may serve as a quantitative reference for future studies of entanglement in multipartite mixed states. By studying the Coffman-Kundu-Wootters inequality we find that, while the amounts of inequivalent entanglement types strictly add up for pure states, this ``monogamy'' can be lifted for mixed states by virtue of vanishing tangle measures.
{
"annotation_id": "fea72252-213c-402c-81b3-53ce867f6c67",
"date_created": "2026-03-02T18:02:27.110000Z",
"date_modified": "2026-03-02T18:02:27.110000Z",
"file_hash": "1a8346390e5ace96c1cfb443446a6e6785c623120fd56e8ba8edab5ca655ee91",
"private": false,
"record": {
"abstract": "We provide a complete analysis of mixed three-qubit states composed of a GHZ\nstate and a W state orthogonal to the former. We present optimal decompositions\nand convex roofs for the three-tangle. Further, we provide an analytical method\nto decide whether or not an arbitrary rank-2 state of three qubits has\nvanishing three-tangle. These results highlight intriguing differences compared\nto the properties of two-qubit mixed states, and may serve as a quantitative\nreference for future studies of entanglement in multipartite mixed states. By\nstudying the Coffman-Kundu-Wootters inequality we find that, while the amounts\nof inequivalent entanglement types strictly add up for pure states, this\n``monogamy\u0027\u0027 can be lifted for mixed states by virtue of vanishing tangle\nmeasures.",
"arxiv_id": "quant-ph/0606071",
"authors": [
"Robert Lohmayer",
"Andreas Osterloh",
"Jens Siewert",
"Armin Uhlmann"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.97.260502",
"journal_ref": "Phys. Rev. Lett. 97, 260502 (2006)",
"title": "Entangled three-qubit states without concurrence and three-tangle",
"url": "https://arxiv.org/abs/quant-ph/0606071"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "adb3a272-b398-4933-84ce-b26212bfb406",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}