Generalized Entanglement Monogamy and Polygamy Relations for N -Qubit Systems

Abstract

We investigate the generalized monogamy and polygamy relations \(N\)-qubit systems. We give a general upper bound of the \(\alpha\)th (\(0\leq\alpha\leq2\)) power of concurrence for \(N\)-qubit states. The monogamy relations satisfied by the \(\alpha\)th (\(0\leq\alpha\leq2\)) power of concurrence are presented for \(N\)-qubit pure states under the partition \(AB\) and \(C_1 . . . C_{N-2}\), as well as under the partition \(ABC_1\) and \(C_2\cdots C_{N-2}\). These inequalities give rise to the restrictions on entanglement distribution and the trade off of entanglement among the subsystems. Similar results are also derived for negativity.