Monogamy inequality in terms of negativity for three-qubit states
Jun 8, 20075 pages
Published in:
- Phys.Rev.A 75 (2007) 6, 062308
- Published: Jun 8, 2007
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Abstract: (APS)
We propose an entanglement measure to quantify three-qubit entanglement in terms of negativity. A monogamy inequality analogous to the Coffman-Kundu-Wootters inequality is established. This consequently leads to a definition of residual entanglement, which is referred to as the three-\ensuremath{\pi} in order to distinguish it from the three-tangle. The three-\ensuremath{\pi} is proved to be a natural entanglement measure. By contrast to the three-tangle, it is shown that the three-\ensuremath{\pi} always gives greater than zero values for pure states belonging to the and Greenberger-Horne-Zeilinger classes, implying that three-way entanglement always exists for them; the three-tangle generally underestimates the three-way entanglement of a given system. This investigation will offer an alternative tool to understand genuine multipartite entanglement.- entanglement
- pure state
- quantum state
- qubit
- 03.67.Mn
- 03.65.Ud
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