Duality for monogamy of entanglement

Abstract

We establish duality for monogamy of entanglement: whereas monogamy of entanglement inequalities provide an upper bound for bipartite sharability of entanglement in a multipartite system, we prove that the same quantity provides a \emph{lower} bound for distribution of bipartite entanglement in a multipartite system. Our theorem for monogamy of entanglement is used to establish relations between bipartite entanglement that separate one qubit from the rest vs separating two qubits from the rest.

12 pages

References in corpus (5)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Is Entanglement Monogamous?
• Deterministic Entanglement of Assistance and Monogamy Constraints
• Generalized decoding, effective channels, and simplified security proofs in quantum key distribution
• Bounds on general entropy measures

Cited by in corpus (6)

• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Entanglement Monogamy of Tripartite Quantum States
• Generalized W-Class State and its Monogamy Relation
• Polygamy of Distributed Entanglement
• Polygamy of Entanglement in Multipartite Quantum Systems
• Monogamy equality in $2\otimes 2\otimes d$ quantum systems