Monogamy of Measurement Induced Non-Locality

Physics – Quantum Physics

Scientific paper

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6 pages, 2 figures, pdflatex, some small errors corrected and typos

Scientific paper

Measurement Induced Non-Locality was introduced by Luo and Fu as a measure of non-locality 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 result 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 will also extend our results of generalized W-class to n-qubit.

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