On Strong Monogamy Conjecture in Four-Qubit System

Abstract

Monogamy is a defining feature of entanglement, having far reaching applications. Recently, Regula \textit{et.al.} in Phys. Rev. Lett. \textbf{113}, 110501(2014) have proposed a stronger version of monogamy relation for concurrence. We have extended the strong monogamy inequality for another entanglement measure, viz., negativity. In particular, we have concentrated on four-qubit system and provided a detail study on the status of strong monogamy on pure states. Further, we have analytically provided some classes of states for which negativity and squared negativity satisfy strong monogamy. Numerical evidences have also been shown in proper places. Our analysis also provides cases where strong monogamy is violated.

8 pages, 8 figures, revtex, comments welcome

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• General monogamy relations of the $S^t$ and $T_q^t$-entropy entanglement measures based on dual entropy
• Testing the Monogamy Relations via Rank-2 Mixtures
• On Monogamy of four qubit entanglement
• Multipartite Monogamy of Entanglement for Three Qubit States
• Beyond the entanglement of qubit pair in a mixed state
• Monogamy Relations for Multiqubit Systems
• Maximum residual strong monogamy inequality for multiqubit entanglement
• Unified monogamy relation of entanglement measures