Monogamy of measurement-induced nonlocality

Abstract

Measurement-Induced NonLocality was introduced by Luo and Fu (Phys.Rev. Lett.106, 120401,(2011)) as a measure of nonlocality in a bipartite state.In this paper we will discuss monogamy property of measurement-induced nonlocality for some three-and four-qubit classes of states.Unlike discord, we find quite surprising results in this situation.Both the GHZ and W states satisfy monogamy relations in the three-qubit case, however, in general there are violations of monogamy relations in both the GHZ-class and W-class states.In case of four-qubit system, monogamy holds for most of the states in the generic class.Four qubit GHZ does not satisfy monogamy relation, but W-state does.We provide several numerical results including counterexamples regarding monogamy nature of measurement induced nonlocality.We will also extend our results of generalized W-class to n-qubit.

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