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.

arXiv comment11 pages

References in corpus (25)

• A computable measure of entanglement
• Distributed Entanglement
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Concurrence of arbitrary dimensional bipartite quantum states
• Concurrence of mixed bipartite quantum states in arbitrary dimensions
• Is Entanglement Monogamous?
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Optimal entanglement criterion for mixed quantum states
• Entanglement monogamy relations of qubit systems
• Tsallis entropy and entanglement constraints in multi-qubit systems
• Duality for monogamy of entanglement
• Lower bounds on concurrence and separability conditions
• Deterministic Entanglement of Assistance and Monogamy Constraints
• Optimal entanglement witnesses based on local orthogonal observables
• Monogamy and polygamy for multi-qubit entanglement using Rényi entropy
• Monogamy of entanglement of formation
• Separability criteria and bounds for entanglement measures
• Tighter monogamy relations in multipartite systems
• Unified entropy, entanglement measures and monogamy of multi-party entanglement
• Polygamy of Distributed Entanglement
• Tighter entanglement monogamy relations of qubit systems
• Limitations to sharing entanglement
• Monogamy of $\alpha$th Power Entanglement Measurement in Qubit Systems
• General polygamy inequality of multi-party quantum entanglement
• Tighter constraints of multiqubit entanglement

Cited by in corpus (4)

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