  Within the framework of constructions for quantifying entanglement, we build
a natural scenario for the assembly of multipartite entanglement measures based
on Hopf bundle-like mappings obtained through Clifford algebra representations.
Then, given the non-factorizability of an arbitrary two-qubit density matrix,
we give an alternate quantity that allows the construction of two types of
entanglement measures based on their arithmetical and geometrical averages over
all pairs of qubits in a register of size N, and thus fully characterize its
degree and type of entanglement. We find that such an arithmetical average is
both additive and strongly super additive.
