dorsal/arxiv
View SchemaClassification of mixed three-qubit states
| Authors | A. Acin, D. Bruss, M. Lewenstein, A. Sanpera |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103025 |
| URL | https://arxiv.org/abs/quant-ph/0103025 |
| DOI | 10.1103/PhysRevLett.87.040401 |
| Journal | Phys. Rev. Lett. 87, 040401 (2001) |
Abstract
We introduce a classification of mixed three-qubit states, in which we define the classes of separable, biseparable, W- and GHZ-states. These classes are successively embedded into each other. We show that contrary to pure W-type states, the mixed W-class is not of measure zero. We construct witness operators that detect the class of a mixed state. We discuss the conjecture that all entangled states with positive partial transpose (PPTES) belong to the W-class. Finally, we present a new family of PPTES "edge" states with maximal ranks.
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"abstract": "We introduce a classification of mixed three-qubit states, in which we define\nthe classes of separable, biseparable, W- and GHZ-states. These classes are\nsuccessively embedded into each other. We show that contrary to pure W-type\nstates, the mixed W-class is not of measure zero. We construct witness\noperators that detect the class of a mixed state. We discuss the conjecture\nthat all entangled states with positive partial transpose (PPTES) belong to the\nW-class. Finally, we present a new family of PPTES \"edge\" states with maximal\nranks.",
"arxiv_id": "quant-ph/0103025",
"authors": [
"A. Acin",
"D. Bruss",
"M. Lewenstein",
"A. Sanpera"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.87.040401",
"journal_ref": "Phys. Rev. Lett. 87, 040401 (2001)",
"title": "Classification of mixed three-qubit states",
"url": "https://arxiv.org/abs/quant-ph/0103025"
},
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