Tighter constraints of multiqubit entanglement for negativity

Abstract

We provide a characterization of multiqubit entanglement monogamy and polygamy constraints in terms of negativity. Using the square of convex-roof extended negativity (SCREN) and the Hamming weight of the binary vector related to the distribution of subsystems proposed in Kim (Phys Rev A 97: 012334, 2018), we provide a new class of monogamy inequalities of multiqubit entanglement based on the $\alpha$th power of SCREN for $\alpha \ge 1$ and polygamy inequalities for $0\le \alpha \le 1$ in terms of squared convex-roof extended negativity of assistance (SCRENoA). For the case $\alpha <0$, we give the corresponding polygamy and monogamy relations for SCREN and SCRENoA, respectively. We also show that these new inequalities give rise to tighter constraints than the existing ones.

11 pages

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Cited by in corpus (3)

• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• Tighter monogamy relations in multiparty quantum systems
• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA