Bound of Entanglement of Assistance and Monogamy Constraints

Abstract

We investigate the entanglement of assistance which quantifies capabilities of producing pure bipartite entangled states from a pure tripartite state. The lower bound and upper bound of entanglement of assistance are obtained. In the light of the upper bound, monogamy constraints are proved for arbitrary n-qubit states.

4 pages

References in corpus (15)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Entanglement versus Correlations in Spin Systems
• Concurrence of arbitrary dimensional bipartite quantum states
• Localizable Entanglement
• Duality for monogamy of entanglement
• Deterministic Entanglement of Assistance and Monogamy Constraints
• Concurrence and a proper monogamy inequality for arbitrary quantum states
• Evolution equation of entanglement for general bipartite systems
• Further results on entanglement detection and quantification from the correlation matrix criterion
• Polygamy of Distributed Entanglement
• Lower Bounds of Concurrence for Tripartite Quantum Systems
• Entanglement of Assistance is not a bipartite measure nor a tripartite monotone
• Scalable experimental estimation of multipartite entanglement
• Entanglement conditions for multi-mode states
• Entanglement of Collaboration

Cited by in corpus (14)

• Monogamy of quantum correlations - a review
• Multipartite Entanglement Accumulation in Quantum States: Localizable Generalized Geometric Measure
• Superactivation of monogamy relations for nonadditive quantum correlation measures
• Any entanglement of assistance is polygamous
• General Monogamy Relations of Quantum Entanglement for Multiqubit W-class States
• Evolution equation for entanglement of assistance
• Propagation and Distribution of Quantum Correlations in a Cavity QED Network
• Verification of Bell Nonlocality by Violating Quantum Monogamy Relations
• Quantum Correlations in Cavity QED Networks
• Coherence of assistance and assisted maximally coherent states
• Polygamy relation of quantum correlations with equality
• Verifying Quantum Memory in the Dynamics of Spin Boson Models
• Monogamous nature of symmetric multiqubt states with distinct spinors
• Monogamy inequalities of entanglement of assistance in $2\otimes 2\otimes d$ systems