Optimized generalized monogamy relations and upper bounds for N-qubit systems
发表期刊:
Laser Phys. Lett.
21 (2024) 105207
摘要:
We present optimized generalized monogamy relations and upper bounds derived from concurrence and concurrence of assistance. We first establish a tighter general upper
bound of the $\alpha$th ($0\leq\alpha\leq2$) power of concurrence for $N$-qubit states. Then for $N$-qubit systems $ABC_1...C_{N-2}$, the optimized monogamy relations
and upper bounds satisfied by the $\alpha$th ($0\leq\alpha\leq2$) power of 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 restrictions on the entanglement distribution and trade offs among the subsystems. Moreover, the
utilization of the $W$-class states demonstrates that our results are tighter compared with the existing results. Similar results are also obtained for negativity