Unification of multi-qubit polygamy inequalities

Abstract

We establish a unified view of polygamy of multi-qubit entanglement. We first introduce a two-parameter generalization of entanglement of assistance namely unified entanglement of assistance for bipartite quantum states, and provide an analytic lowerbound in two-qubit systems. We show a broad class of polygamy inequalities of multi-qubit entanglement in terms of unified entanglement of assistance that encapsulates all known multi-qubit polygamy inequalities as special cases. We further show that this class of polygamy inequalities can be improved into tighter inequalities for three-qubit systems.

arXiv comment8 pages, 2 figures

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Cited by in corpus (7)

• Monogamy of quantum entanglement
• Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
• Tighter constraints of multiqubit entanglement in terms of unified entropy
• 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
• Monogamy and polygamy for multi-qudit generalized $W$-class states based on concurrence of assistance and Tsallis-$q$ entanglement of assistance
• Unified monogamy relations for the generalized $W$-class states beyond qubits