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 (46)

• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Entanglement monogamy relations of qubit systems
• All Maximally Entangled Four Qubits States
• Unified entropy, entanglement measures and monogamy of multi-party entanglement
• Entanglement Monogamy of Tripartite Quantum States
• Polygamy of Distributed Entanglement
• Generalized W-Class State and its Monogamy Relation
• General polygamy inequality of multi-party quantum entanglement
• A new parameterized entanglement monotone
• Superactivation of monogamy relations for nonadditive quantum correlation measures
• Tighter constraints of multiqubit entanglement
• General Monogamy Relations of Quantum Entanglement for Multiqubit W-class States
• Unification of multi-qubit polygamy inequalities
• Parameterized Bipartite Entanglement Measure
• Monogamy of quantum entanglement
• Polygamy of Entanglement in Multipartite Quantum Systems
• Monogamy of entanglement for tripartite systems
• Strict entanglement monotonicity under local operations and classical communication
• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• Monogamy equality in $2\otimes 2\otimes d$ quantum systems
• On monogamy and polygamy relations of multipartite systems
• Monogamy relations of concurrence for any dimensional quantum systems
• Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
• Tighter monogamy and polygamy relations of quantum entanglement in multi-qubit systems
• Polygamy relations of multipartite systems
• Tighter monogamy and polygamy relations for a superposition of the generalized $W$-class state and vacuum
• General Monogamy and polygamy properties of quantum systems
• Tighter constraints of multiqubit entanglement for negativity
• Long range entanglement in quantum dot systems under the Fermi-Hubbard approach
• Polygamy of multi-party $q$-expected quantum entanglement
• Tighter weighted polygamy inequalities of multipartite entanglement in arbitrary-dimensional quantum systems
• A new entanglement measure based on the total concurrence
• General monogamy relations of the $S^t$ and $T_q^t$-entropy entanglement measures based on dual entropy
• Weighted monogamy and polygamy relations
• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA
• Parameterized bipartite entanglement measures and entanglement constraints
• Superior monogamy and polygamy relations and estimates of concurrence
• Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations
• On two maximally entangled couples
• Unified monogamy and polygamy relations for multipartite systems
• Monogamy inequalities of entanglement of assistance in $2\otimes 2\otimes d$ systems
• Tighter bounds for generalized monogamy and polygamy relations
• Monogamy and polygamy for multi-qudit generalized $W$-class states based on concurrence of assistance and Tsallis-$q$ entanglement of assistance
• Multiqubit monogamy relations beyond shadow inequalities
• Unified monogamy relation of entanglement measures
• General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems