Tighter monogamy relations of quantum entanglement for multiqubit W-class states

Abstract

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations for multiqubit generalized W-class states. We present new analytical monogamy inequalities for the concurrence of assistance, which are shown to be tighter than the existing ones. Furthermore, analytical monogamy inequalities are obtained for the negativity of assistance.

arXiv comment14 pages, 2 figures

References in corpus (22)

• Quantum entanglement
• A computable measure of entanglement
• Separability criterion and inseparable mixed states with positive partial transposition
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Universal state inversion and concurrence in arbitrary dimensions
• Monogamy of entanglement and other correlations
• Fidelity and Concurrence of conjugated states
• Concurrence of arbitrary dimensional bipartite quantum states
• Concurrence of mixed bipartite quantum states in arbitrary dimensions
• Distillability and partial transposition in bipartite systems
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• A Note on Invariants and Entanglements
• Optimal entanglement criterion for mixed quantum states
• Security proof for cryptographic protocols based only on the monogamy of Bell's inequality violations
• 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
• Entanglement Monogamy of Tripartite Quantum States
• Tighter entanglement monogamy relations of qubit systems
• Generalized W-Class State and its Monogamy Relation
• General Monogamy Relations of Quantum Entanglement for Multiqubit W-class States

Cited by in corpus (9)

• Tighter monogamy relations in multipartite systems
• Superactivation of monogamy relations for nonadditive quantum correlation measures
• Complementary Quantum Correlations among Multipartite Systems
• Improved monogamy relations with concurrence of assistance and negativity of assistance for multiqubit W-class states
• On monogamy and polygamy relations of multipartite systems
• Polygamy relation of quantum correlations with equality
• Generalized product-form monogamy relations in multi-qubit systems
• Monogamy and polygamy for multi-qudit generalized $W$-class states based on concurrence of assistance and Tsallis-$q$ entanglement of assistance
• Monogamous nature of symmetric multiqubt states with distinct spinors