dorsal/arxiv
View SchemaQuasi multipartite entanglement measure based on quadratic functions
| Authors | Jing Zhang, Chun-Wen Li, Re-Bing Wu, Tzyh-Jong Tarn, Jian-Wu Wu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512256 |
| URL | https://arxiv.org/abs/quant-ph/0512256 |
| DOI | 10.1103/PhysRevA.73.022319 |
| Journal | Physical Review A, 2006, 73(2): 022319. |
Abstract
We develop a new entanglement measure by extending Jaeger's Minkowskian norm entanglement measure. This measure can be applied to a much wider class of multipartite mixed states, although still "quasi" in the sense that it is still incapable of dividing precisely the sets of all separable and entangled states. As a quadratic scalar function of the system density matrix, the quasi measure can be easily expressed in terms of the so-called coherence vector of the system density matrix, by which we show the basic properties of the quasi measure including (1) zero-entanglement for all separable states, (2) invariance under local unitary operations, and (3) non-increasing under local POVM (positive operator-valued measure) measurements. These results open up perspectives in further studies of dynamical problems in open systems, especially the dynamic evolution of entanglement, and the entanglement preservation against the environment-induced decoherence effects.
{
"annotation_id": "24343a1b-373d-499a-ad82-0e9901fdf325",
"date_created": "2026-03-02T18:02:23.789000Z",
"date_modified": "2026-03-02T18:02:23.789000Z",
"file_hash": "144f604160b4d48f2b7e5b40eb984399dc05b94c564614baf2a3d3fa1c1aa521",
"private": false,
"record": {
"abstract": "We develop a new entanglement measure by extending Jaeger\u0027s Minkowskian norm\nentanglement measure. This measure can be applied to a much wider class of\nmultipartite mixed states, although still \"quasi\" in the sense that it is still\nincapable of dividing precisely the sets of all separable and entangled states.\nAs a quadratic scalar function of the system density matrix, the quasi measure\ncan be easily expressed in terms of the so-called coherence vector of the\nsystem density matrix, by which we show the basic properties of the quasi\nmeasure including (1) zero-entanglement for all separable states, (2)\ninvariance under local unitary operations, and (3) non-increasing under local\nPOVM (positive operator-valued measure) measurements. These results open up\nperspectives in further studies of dynamical problems in open systems,\nespecially the dynamic evolution of entanglement, and the entanglement\npreservation against the environment-induced decoherence effects.",
"arxiv_id": "quant-ph/0512256",
"authors": [
"Jing Zhang",
"Chun-Wen Li",
"Re-Bing Wu",
"Tzyh-Jong Tarn",
"Jian-Wu Wu"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.022319",
"journal_ref": "Physical Review A, 2006, 73(2): 022319.",
"title": "Quasi multipartite entanglement measure based on quadratic functions",
"url": "https://arxiv.org/abs/quant-ph/0512256"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "43f04f74-5098-4ad9-8f28-f7129baf1021",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}