Entanglement of Grassmannian Coherent States for Multi-Partite n-Level Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Entanglement of Grassmannian Coherent States for Multi-Partite n-Level Systems
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| Creator |
Najarbashi, G.
Maleki, Yu. |
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| Description |
In this paper, we investigate the entanglement of multi-partite Grassmannian coherent states (GCSs) described by Grassmann numbers for n>2 degree of nilpotency. Choosing an appropriate weight function, we show that it is possible to construct some well-known entangled pure states, consisting of GHZ, W, Bell, cluster type and bi-separable states, which are obtained by integrating over tensor product of GCSs. It is shown that for three level systems, the Grassmann creation and annihilation operators b and b† together with bz form a closed deformed algebra, i.e., SUq(2) with q=e2πi/3, which is useful to construct entangled qutrit-states. The same argument holds for three level squeezed states. Moreover combining the Grassmann and bosonic coherent states we construct maximal entangled super coherent states.
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| Date |
2019-02-11T14:56:17Z
2019-02-11T14:56:17Z 2011 |
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| Type |
Article
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| Identifier |
Entanglement of Grassmannian Coherent States for Multi-Partite n-Level Systems / G. Najarbashi, Yu. Maleki // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 32 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 81R30; 15A75; 81P40 DOI:10.3842/SIGMA.2011.011 http://dspace.nbuv.gov.ua/handle/123456789/146777 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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