dorsal/arxiv
View SchemaThe K-way negativities as entanglement measures
| Authors | S. Shelly Sharma, N. K. Sharma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608062 |
| URL | https://arxiv.org/abs/quant-ph/0608062 |
Abstract
A classification of N-partite states, based on K-way negativities (K=2 to N), is proposed. The K-way partial transpose with respect to a subsystem is defined so as to shift the focus to K-way coherences instead of K subsystems of the composite system. For an N-partite system, the fraction of K-way negativity contributing to global negativity, is obtained. After minimizing K-way negativities through local unitary qubit rotations, a combined analysis of 2-way, 3-way and global negativities is shown to provide distinct measures of genuine tripartite, W-state like and bipartite entanglement, for three qubit composite system. To illustrate the point, entanglement of three qubit GHZ class states, W-class states, three boson state and noisy states is analysed. While genuine N-partite entanglement of a composite system is generated by N-way coherences, N-partite entanglement in general can be present due to (K<N)-way coherences as well.
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"abstract": "A classification of N-partite states, based on K-way negativities (K=2 to N),\nis proposed. The K-way partial transpose with respect to a subsystem is defined\nso as to shift the focus to K-way coherences instead of K subsystems of the\ncomposite system. For an N-partite system, the fraction of K-way negativity\ncontributing to global negativity, is obtained. After minimizing K-way\nnegativities through local unitary qubit rotations, a combined analysis of\n2-way, 3-way and global negativities is shown to provide distinct measures of\ngenuine tripartite, W-state like and bipartite entanglement, for three qubit\ncomposite system. To illustrate the point, entanglement of three qubit GHZ\nclass states, W-class states, three boson state and noisy states is analysed.\nWhile genuine N-partite entanglement of a composite system is generated by\nN-way coherences, N-partite entanglement in general can be present due to\n(K\u003cN)-way coherences as well.",
"arxiv_id": "quant-ph/0608062",
"authors": [
"S. Shelly Sharma",
"N. K. Sharma"
],
"categories": [
"quant-ph"
],
"title": "The K-way negativities as entanglement measures",
"url": "https://arxiv.org/abs/quant-ph/0608062"
},
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