General polygamy inequality of multi-party quantum entanglement

Abstract

Using entanglement of assistance, we establish a general polygamy inequality of multi-party entanglement in arbitrary dimensional quantum systems. For multi-party closed quantum systems, we relate our result with the monogamy of entanglement to show that the entropy of entanglement is an universal entanglement measure that bounds both monogamy and polygamy of multi-party quantum entanglement.

4 pages, 1 figure

References in corpus (22)

• Mixed State Entanglement and Quantum Error Correction
• Distributed Entanglement
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Monogamy of entanglement and other correlations
• "Squashed Entanglement" - An Additive Entanglement Measure
• Experimental Quantum Cryptography with Qutrits
• Programmable quantum gate arrays
• The asymptotic entanglement cost of preparing a quantum state
• Is Entanglement Monogamous?
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Faithful Squashed Entanglement
• Entanglement of assistance and multipartite state distillation
• Tsallis entropy and entanglement constraints in multi-qubit systems
• Duality for monogamy of entanglement
• Deterministic Entanglement of Assistance and Monogamy Constraints
• Monogamy and polygamy for multi-qubit entanglement using Rényi entropy
• Unified entropy, entanglement measures and monogamy of multi-party entanglement
• Polygamy of Distributed Entanglement
• Subsystem stabilizer codes cannot have a universal set of transversal gates for even one encoded qudit
• Approximate programmable quantum processors
• Experimental realization of programmable quantum gate
• Polygamy of Entanglement in Multipartite Quantum Systems

Cited by in corpus (23)

• Limitations to sharing entanglement
• Weighted polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems
• Superactivation of monogamy relations for nonadditive quantum correlation measures
• Any entanglement of assistance is polygamous
• Monogamy of quantum entanglement
• Tighter monogamy and polygamy relations of multiparty quantum entanglement
• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
• Polygamy relation for the Rényi-$\alpha$ entanglement of assistance in multi-qubit systems
• Tighter monogamy and polygamy relations of quantum entanglement in multi-qubit systems
• Tighter constraints of multiqubit entanglement in terms of unified entropy
• Polygamy relations of multipartite systems
• Tighter monogamy and polygamy relations for a superposition of the generalized $W$-class state and vacuum
• Tsallis entropy, $q$-expectation and constraints on three-party quantum correlations
• General Monogamy and polygamy properties of quantum systems
• Tighter constraints of multiqubit entanglement for negativity
• Polygamy relations of multipartite entanglement beyond qubits
• Tighter weighted polygamy inequalities of multipartite entanglement in arbitrary-dimensional quantum systems
• Polygamy of multi-party $q$-expected quantum entanglement
• Strong polygamy of quantum correlations in multi-party quantum systems
• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA
• Polygamy Inequalities for Qubit Systems
• General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems