dorsal/arxiv
View SchemaComplex multi-projective variety and entanglement
| Authors | Hoshang Heydari, Gunnar Björk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412051 |
| URL | https://arxiv.org/abs/quant-ph/0412051 |
| Journal | J. Phys. A: Math. Gen. 38 (2005) 3203-3211 |
Abstract
In this paper, we will show that a vanishing generalized concurrence of a separable state can be seen as an algebraic variety called the Segre variety. This variety define a quadric space which gives a geometric picture of separable states. For pure, bi- and three-partite states the variety equals the generalized concurrence. Moreover, we generalize the Segre variety to a general multipartite state by relating to a quadric space defined by two-by-two subdeterminants.
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"abstract": "In this paper, we will show that a vanishing generalized concurrence of a\nseparable state can be seen as an algebraic variety called the Segre variety.\nThis variety define a quadric space which gives a geometric picture of\nseparable states. For pure, bi- and three-partite states the variety equals the\ngeneralized concurrence. Moreover, we generalize the Segre variety to a general\nmultipartite state by relating to a quadric space defined by two-by-two\nsubdeterminants.",
"arxiv_id": "quant-ph/0412051",
"authors": [
"Hoshang Heydari",
"Gunnar Bj\u00f6rk"
],
"categories": [
"quant-ph"
],
"journal_ref": "J. Phys. A: Math. Gen. 38 (2005) 3203-3211",
"title": "Complex multi-projective variety and entanglement",
"url": "https://arxiv.org/abs/quant-ph/0412051"
},
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