Generalized Monogamy Relations of Concurrence for N-qubit Systems

TL;DR

This paper introduces new monogamy relations for entanglement in N-qubit systems, providing restrictions on how entanglement can be distributed among subsystems based on concurrence measures.

Contribution

It establishes novel monogamy relations for N-qubit pure states using concurrence and concurrence of assistance, extending understanding of entanglement distribution.

Findings

Derived monogamy relations for N-qubit pure states.

Provided restrictions on entanglement sharing among subsystems.

Enhanced the theoretical framework of quantum entanglement distribution.

Abstract

We present a new kind of monogamous relations based on concurrence and concurrence of assistance. For $N$-qubit systems $ABC_1...C_{N-2}$, the monogamy relations satisfied by the concurrence of $N$-qubit pure states under the partition $AB$ and $C_1...C_{N-2}$, as well as under the partition $ABC_1$ and $C_2...C_{N-2}$ are established, which give rise to a kind of restrictions on the entanglement distribution and trade off among the subsystems.