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Monogamy of αth Power Entanglement Measurement in Qubit Systems

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arxiv 1504.08169 v2 pith:5SEPBYZU submitted 2015-04-30 quant-ph

Monogamy of $\alpha$th Power Entanglement Measurement in Qubit Systems

classification quant-ph
keywords alphamonogamypowerentanglementnegativityconcurrencerelatedstate
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abstract

In this paper, we study the $\alpha$th power monogamy properties related to the entanglement measure in bipartite states. The monogamy relations related to the $\alpha$th power of negativity and the Convex- Roof Extended Negativity are obtained for N-qubit states. We also give a tighter bound of hierarchical monogamy inequality for the entanglement of formation. We find that the GHZ state and W state can be used to distinguish the $\alpha$th power the concurrence for $0<\alpha<2$. Furthermore, we compare concurrence with negativity in terms of monogamy property and investigate the difference between them.

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