Abstract
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- in order to distinguish it from the three-tangle. The three- is proved to be a natural entanglement measure. By contrast to the three-tangle, it is shown that the three- 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.
- Received 13 February 2007
DOI:https://doi.org/10.1103/PhysRevA.75.062308
©2007 American Physical Society