Entanglement monogamy relations of qubit systems

Abstract

We investigate the monogamy relations related to the concurrence and the entanglement of formation. General monogamy inequalities given by the αth power of concurrence and entanglement of formation are presented for N-qubit states. The monogamy relation for entanglement of assistance is also established. Based on these general monogamy relations, the residual entanglement of concurrence and entanglement of formation are studied. Some relations among the residual entanglement, entanglement of assistance, and three tangle are also presented.

arXiv comment5 pages, 2 figures

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• Parameterized bipartite entanglement measures and entanglement constraints
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• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA
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• Superior monogamy and polygamy relations and estimates of concurrence
• Generalized product-form monogamy relations in multi-qubit systems
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• General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems
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• Maximum residual strong monogamy inequality for multiqubit entanglement
• Unified monogamy relation of entanglement measures