dorsal/arxiv
View SchemaMonogamy Inequality in terms of Negativity for Three-Qubit States
| Authors | Yong-Cheng Ou, Heng Fan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702127 |
| URL | https://arxiv.org/abs/quant-ph/0702127 |
| DOI | 10.1103/PhysRevA.75.062308 |
| Journal | Physical Review A 75, 062308 (2007) |
Abstract
We propose a new entanglement measure to quantify three qubits entanglement in terms of negativity. A monogamy inequality analogous to Coffman-Kundu-Wootters (CKW) inequality is established. This consequently leads to a definition of residual entanglement, which is referred to as three-$\pi$ in order to distinguish from three-tangle. The three-$\pi$ is proved to be a natural entanglement measure. By contrast to the three-tangle, it is shown that the three-$\pi$ always gives greater than zero values for $W$ and GHZ classes, implying there always exists three-way entanglement for them, and three-tangle generally underestimates three-way entanglement of a given system. This investigation will offer an alternative tool to understand genuine multipartite entanglement.
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"abstract": "We propose a new entanglement measure to quantify three qubits entanglement\nin terms of negativity. A monogamy inequality analogous to\nCoffman-Kundu-Wootters (CKW) inequality is established. This consequently leads\nto a definition of residual entanglement, which is referred to as three-$\\pi$\nin order to distinguish from three-tangle. The three-$\\pi$ is proved to be a\nnatural entanglement measure. By contrast to the three-tangle, it is shown that\nthe three-$\\pi$ always gives greater than zero values for $W$ and GHZ classes,\nimplying there always exists three-way entanglement for them, and three-tangle\ngenerally underestimates three-way entanglement of a given system. This\ninvestigation will offer an alternative tool to understand genuine multipartite\nentanglement.",
"arxiv_id": "quant-ph/0702127",
"authors": [
"Yong-Cheng Ou",
"Heng Fan"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.062308",
"journal_ref": "Physical Review A 75, 062308 (2007)",
"title": "Monogamy Inequality in terms of Negativity for Three-Qubit States",
"url": "https://arxiv.org/abs/quant-ph/0702127"
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