Measurement-induced nonlocality in the W and Greenberger–Horne–Zeilinger superposition states**Project supported by the National Natural Science Foundation of China (Grant Nos. 61275215 and 10905016), the National Fundamental Research Program of China (Grant No. 2011CBA00203), the Fujian Provincial College Funds for Distinguished Young Scientists, China (Grant No. JA14070), and the Natural Science Foundation of Hebei Province, China (Grant No. A2012205062).

Abstract

Measurement-induced nonlocality (MIN) is a newly defined quantity to measure correlations in bipartite quantum states [Luo S and Fu S 2011 Phys. Rev. Lett. 106 120401]. MIN in the n-qubit W and Greenberger–Horne–Zeilinger (GHZ) superposition states is considered. It is revealed that n=3 and n ≥ 4 states have very different characteristics, especially the monogamy relation about MIN, and the monogamy equality of MIN is held in all n-qubit W states (n ≥ 3).