Local and nonlocal contents in N-qubit generalized Greenberger-Horne-Zeilinger states

We investigate local contents in N-qubit generalized Greenberger-Horne-Zeilinger (GHZ) states. We suggest a decomposition for correlations in the GHZ states into a nonlocal and fully local part, and find a lower and upper bound on the local content. Our lower bound reproduces the previous result for N=2 [V. Scarani, Phys. Rev. APLRAAN1050-294710.1103/PhysRevA.77.042112 77, 042112 (2008)] and decreases rapidly with N.