Monogamy inequalities of entanglement of assistance in $2\otimes 2\otimes d$ systems

Abstract

The monogamy relations characterize the distribution of quantum correlations among the multipartite quantum systems. We study the monogamy relations of the entanglement of assistance in $2\otimes 2\otimes d$ systems. We present explicitly the relations satisfied by the concurrence, the tangle and the concurrence of assistance, which can be used to derive rigorous monogamy relations. Detailed examples are given to illustrate our results.

8pages

References in corpus (12)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Concurrence of arbitrary dimensional bipartite quantum states
• Optimal entanglement criterion for mixed quantum states
• Entanglement monogamy relations of 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
• Entanglement Monogamy of Tripartite Quantum States
• Multipartite Entanglement Measure
• General Monogamy Relations of Quantum Entanglement for Multiqubit W-class States
• Monogamy equality in $2\otimes 2\otimes d$ quantum systems