Maximum residual strong monogamy inequality for multiqubit entanglement
Abstract
We establish two new inequalities, the weighted strong monogamy (WSM) and the maximum residual strong monogamy (MRSM), which sharpen the generalized Coffman-Kundu-Wootters inequity for multiqubit states. The WSM inequality distinguishes itself from the strong monogamy (SM) conjecture [Phys. Rev. Lett. 113, 110501 (2014)] by using coefficients rather than exponents to modulate the weight allocated to various m-partite contributions. In contrast, the MRSM inequality is formulated using only the maximum m-partite entanglement. We find that the residual entanglement of the MRSM inequality can effectively distinguish the separable states. We also compare the tightness of various SM inequalities and provide examples using a four-qubit mixed state and a five-qubit pure state to illustrate the MRSM inequality. These examples characterize the trade-off relations among entanglement components involving varying numbers of qubits. Our results provide a rigorous framework to characterize and quantify the monogamy of multipartite entanglement.
Keywords
Cite
@article{arxiv.2602.10668,
title = {Maximum residual strong monogamy inequality for multiqubit entanglement},
author = {Dong-Dong Dong and Xue-Ke Song and Liu Ye and Dong Wang and Gerardo Adesso},
journal= {arXiv preprint arXiv:2602.10668},
year = {2026}
}
Comments
8 pages, 3 figures, accepted by Physical Review A