We provide a supersymmetric generalization of n quantum bits by extending the local operations and classical communication entanglement equivalence group [SU(2)]n to the supergroup [uOSp(1|2)]n and the stochastic local operations and classical communication equivalence group [SL(2,C)]n to the supergroup [OSp(1|2)]n. We introduce the appropriate supersymmetric generalizations of the conventional entanglement measures for the cases of n=2 and n=3. In particular, super-Greenberger-Horne-Zeilinger states are characterized by a nonvanishing superhyperdeterminant.