Abstract
An interesting monogamy equation with the form of the Pythagorean theorem is found for -dimensional pure states, which reveals the relation among bipartite concurrence, concurrence of assistance, and genuine tripartite entanglement. At the same time, a genuine tripartite entanglement monotone as a generalization of 3-tangle is naturally obtained for -dimensional pure states in terms of a distinct idea. For mixed states, the monogamy equation is reduced to a monogamy inequality. Both results for tripartite quantum states can be employed to multipartite quantum states.
- Received 19 July 2007
DOI:https://doi.org/10.1103/PhysRevA.77.032329
©2008 American Physical Society