dorsal/arxiv
View SchemaGeometry of entangled states
| Authors | Marek Kus, Karol Zyczkowski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006068 |
| URL | https://arxiv.org/abs/quant-ph/0006068 |
| DOI | 10.1103/PhysRevA.63.032307 |
| Journal | Phys. Rev A 63 032307-13 (2001) |
Abstract
Geometric properties of the set of quantum entangled states are investigated. We propose an explicit method to compute the dimension of local orbits for any mixed state of the general K x M problem and characterize the set of effectively different states (which cannot be related by local transformations). Thus we generalize earlier results obtained for the simplest 2 x 2 system, which lead to a stratification of the 6D set of N=4 pure states. We define the concept of absolutely separable states, for which all globally equivalent states are separable.
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"abstract": "Geometric properties of the set of quantum entangled states are investigated.\nWe propose an explicit method to compute the dimension of local orbits for any\nmixed state of the general K x M problem and characterize the set of\neffectively different states (which cannot be related by local\ntransformations). Thus we generalize earlier results obtained for the simplest\n2 x 2 system, which lead to a stratification of the 6D set of N=4 pure states.\nWe define the concept of absolutely separable states, for which all globally\nequivalent states are separable.",
"arxiv_id": "quant-ph/0006068",
"authors": [
"Marek Kus",
"Karol Zyczkowski"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.032307",
"journal_ref": "Phys. Rev A 63 032307-13 (2001)",
"title": "Geometry of entangled states",
"url": "https://arxiv.org/abs/quant-ph/0006068"
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