dorsal/arxiv
View SchemaGenuine tripartite entanglement semi-monotone for (2 x 2 x n)-dimensional systems
| Authors | Chang-shui Yu, He-shan Song, Ya-hong Wang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607032 |
| URL | https://arxiv.org/abs/quant-ph/0607032 |
| Journal | Quantum Information and Computation 7(7),584 (2007) |
Abstract
In this paper, we present a new approach to study genuine tripartite entanglement existing in $(2\times 2\times n)-$dimensional quantum pure states. By utilizing the approach, we introduce a particular quantity to measure genuine tripartite entanglement. The quantity is shown to be an entanglement monotone in 2-dimensional subsystems (semi-monotone) and reaches zero for separable states and $(2\times 2\times 2)-$dimensional $W$ states, hence is a good criterion to characterize genuine tripartite entanglement. Furthermore, the formulation for pure states can be conveniently extended to the case of mixed states by utilizing the kronecker product approximation technique. As applications, we give the analytic approximation for weakly mixed states, and study the genuine tripartite entanglement of two given weakly mixed states.
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"abstract": "In this paper, we present a new approach to study genuine tripartite\nentanglement existing in $(2\\times 2\\times n)-$dimensional quantum pure states.\nBy utilizing the approach, we introduce a particular quantity to measure\ngenuine tripartite entanglement. The quantity is shown to be an entanglement\nmonotone in 2-dimensional subsystems (semi-monotone) and reaches zero for\nseparable states and $(2\\times 2\\times 2)-$dimensional $W$ states, hence is a\ngood criterion to characterize genuine tripartite entanglement. Furthermore,\nthe formulation for pure states can be conveniently extended to the case of\nmixed states by utilizing the kronecker product approximation technique. As\napplications, we give the analytic approximation for weakly mixed states, and\nstudy the genuine tripartite entanglement of two given weakly mixed states.",
"arxiv_id": "quant-ph/0607032",
"authors": [
"Chang-shui Yu",
"He-shan Song",
"Ya-hong Wang"
],
"categories": [
"quant-ph"
],
"journal_ref": "Quantum Information and Computation 7(7),584 (2007)",
"title": "Genuine tripartite entanglement semi-monotone for (2 x 2 x n)-dimensional systems",
"url": "https://arxiv.org/abs/quant-ph/0607032"
},
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