Monogamy inequality of entanglement of pure tripartite qudit states

Abstract: We analytically establish an inequality analogous to the Coffman-Kundu-Wootters inequality, which succinctly describes monogamy of entanglement in $\mathbb{C}^d\otimes \mathbb{C}^d\otimes \mathbb{C}^d$ dimensional pure states. The derivation of this inequality is based on the G-concurrence \cite{gour2} measure of entanglement. It is shown that the shared entanglement of the subsystems of a pure tripartite qudit state always satisfy a monogamy constraint.