Entanglement monogamy of tripartite quantum states
Chang‐shui Yu, He‐Shan Song · Physical Review A · 2008
An interesting monogamy equation with the form of the Pythagorean theorem is found for $2\ensuremath{\bigotimes}2\ensuremath{\bigotimes}n$-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 $(2\ensuremath{\bigotimes}2\ensuremath{\bigotimes}n)$-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.