  Using Hodge diagram combinatorial data, we study qubit and fermionic Fock
spaces from the point of view of type II superstring black holes based on
complex compactifications. Concretely, we establish a one-to-one correspondence
between qubits, fermionic spaces and extremal black holes in maximally
supersymmetric supergravity obtained from type II superstring on complex
toroidal and Calabi-Yau compactifications. We interpret the differential forms
of the n-dimensional complex toroidal compactification as states of n-qubits
encoding information on extremal black hole charges. We show that there are 2^n
copies of n-qubit systems which can be split as 2^n=2^{n-1}+2^{n-1}. More
precisely, 2^{n-1} copies are associated with even D-brane charges in type IIA
superstring and the other 2^{n-1} ones correspond to odd D-brane charges in IIB
superstring. This correspondence is generalized to a class of Calabi-Yau
manifolds. In connection with black hole charges in type IIA superstring, an
n-qubit system has been obtained from a canonical line bundle of n factors of
one dimensional projective space \mathbb{CP}^1.
