  We give an algebraic formulation based on Clifford algebras and algebraic
spinors for quantum information. In this context, logic gates and concepts such
as chirality, charge conjugation, parity and time reversal are introduced and
explored in connection with states of qubits. Supersymmetry and M-superalgebra
are also analysed with our formalism. Specifically we use extensively the
algebras $Cl_{3,0}$ and $Cl_{1,3}$ as well as tensor products of Clifford
algebras.
