  We present a general approach for quantifying tolerance of a nonlocal
N-partite state to any local noise under different classes of quantum
correlation scenarios with arbitrary numbers of settings and outcomes at each
site. This allows us to derive new precise bounds in d and N on noise
tolerances for: (i) an arbitrary nonlocal N-qudit state; (ii) the N-qudit
Greenberger-Horne-Zeilinger (GHZ) state; (iii) the N-qubit W state and the
N-qubit Dicke states, and to analyse asymptotics of these precise bounds for
large N and d.
