dorsal/arxiv
View SchemaGenuine tripartite entanglement in the non-interacting Fermi gas
| Authors | T. Vértesi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701246 |
| URL | https://arxiv.org/abs/quant-ph/0701246 |
| DOI | 10.1103/PhysRevA.75.042330 |
| Journal | Phys. Rev. A 75, 042330 (2007) |
Abstract
We study genuine tripartite entanglement shared among the spins of three localized fermions in the non-interacting Fermi gas at zero temperature. Firstly, we prove analytically with the aid of entanglement witnesses that in a particular configuration the three fermions are genuinely tripartite entangled. Then various three-fermion configurations are investigated in order to quantify and calculate numerically the amount of genuine tripartite entanglement present in the system. Further we give a lower and an upper limit to the maximum diameter of the three-fermion configuration below which genuine tripartite entanglement exists and find that this distance is comparable with the maximum separation between two entangled fermions. The upper and lower limit turn to be very close to each other indicating that the applied witness operator is well suited to reveal genuine tripartite entanglement in the collection of non-interacting fermions.
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"abstract": "We study genuine tripartite entanglement shared among the spins of three\nlocalized fermions in the non-interacting Fermi gas at zero temperature.\nFirstly, we prove analytically with the aid of entanglement witnesses that in a\nparticular configuration the three fermions are genuinely tripartite entangled.\nThen various three-fermion configurations are investigated in order to quantify\nand calculate numerically the amount of genuine tripartite entanglement present\nin the system. Further we give a lower and an upper limit to the maximum\ndiameter of the three-fermion configuration below which genuine tripartite\nentanglement exists and find that this distance is comparable with the maximum\nseparation between two entangled fermions. The upper and lower limit turn to be\nvery close to each other indicating that the applied witness operator is well\nsuited to reveal genuine tripartite entanglement in the collection of\nnon-interacting fermions.",
"arxiv_id": "quant-ph/0701246",
"authors": [
"T. V\u00e9rtesi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.042330",
"journal_ref": "Phys. Rev. A 75, 042330 (2007)",
"title": "Genuine tripartite entanglement in the non-interacting Fermi gas",
"url": "https://arxiv.org/abs/quant-ph/0701246"
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