Generalized product-form monogamy relations in multi-qubit systems

Abstract

Monogamy of entanglement essentially characterizes the entanglement distributions among the subsystems. Generally it is given by summation-form monogamy inequalities. In this paper, we present the product-form monogamy inequalities satisfied by the $\nu$-th ($\nu \ge 2$) power of the concurrence. We show that they are tighter than the existing ones by detailed example. We then establish tighter product-form monogamy inequalities based on the negativity. We show that they are valid even for high dimensional states to which the well-known CKW inequality is violated.

6 pages

References in corpus (13)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Concurrence of arbitrary dimensional bipartite quantum states
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Entanglement monogamy relations of qubit systems
• Lower bounds on concurrence and separability conditions
• Optimal entanglement witnesses based on local orthogonal observables
• Separability criteria and bounds for entanglement measures
• Generalized W-Class State and its Monogamy Relation
• Measurable entanglement for tripartite quantum pure states of qubits
• General Monogamy Relations of Quantum Entanglement for Multiqubit W-class States
• General monogamy relations of the $S^t$ and $T_q^t$-entropy entanglement measures based on dual entropy
• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA