Limitations to sharing entanglement

Abstract

We discuss limitations to sharing entanglement known as monogamy of entanglement. Our pedagogical approach commences with simple examples of limited entanglement sharing for pure three-qubit states and progresses to the more general case of mixed-state monogamy relations with multiple qudits.

Pedagogical review article on monogamy and polygamy of entanglement

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Cited by in corpus (35)

• Quantum discord and its allies: a review
• Witnessing entanglement sequentially: Maximally entangled states are not special
• Negativity and strong monogamy of multi-party quantum entanglement beyond qubits
• Multipartite Entanglement Measure and Complete Monogamy Relation
• Weighted polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems
• Do Large Number of Parties Enforce Monogamy in All Quantum Correlations?
• Tighter constraints of multiqubit entanglement
• Compatible quantum correlations: on extension problems for Werner and isotropic states
• The dynamic behaviors of local quantum uncertainty for three-qubit X states under decoherence channels
• Polynomial Monogamy Relations for Entanglement Negativity
• Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
• Strong monogamy of multi-party quantum entanglement for partially coherently superposed states
• Tighter monogamy and polygamy relations of multiparty quantum entanglement
• Constructive Simulation and Topological Design of Protocols
• Tighter monogamy relations of multiqubit entanglement in terms of Rényi-$\alpha$ entanglement
• Shared Purity of Multipartite Quantum States
• Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
• Entanglement of formation and monogamy of multi-party quantum entanglement
• Exclusion principle for nonlocal advantage of quantum coherence
• Monogamy of Logarithmic Negativity and Logarithmic Convex-Roof Extended Negativity
• Tighter constraints of multiqubit entanglement in terms of unified entropy
• Tsallis entropy, $q$-expectation and constraints on three-party quantum correlations
• Entanglement Sharing Protocol via Quantum Error Correcting Codes
• Tighter monogamy and polygamy relations for a superposition of the generalized $W$-class state and vacuum
• Tighter monogamy inequalities of multiqubit entanglement
• Tighter constraints of multiqubit entanglement for negativity
• Polygamy of multi-party $q$-expected quantum entanglement
• Several Trade off Features of Quantum Steering in Distributed Scenario
• Squashed Entanglement from Generalized Rindler Wedge
• Restrictions on shareability of classical correlations for random multipartite quantum states
• Strong polygamy of quantum correlations in multi-party quantum systems
• Operational criterion for controlled dense coding with non-trivial tripartite entangled states
• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA
• Shareability of Quantum Correlations in a Many-Body Spin System with Two- and Three-Body Interactions
• Multipartite entanglement via the Mayer-Vietoris theorem