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Inspired by geometric engineering method, we approach qubit systems in thecontext of D-branes in type II superstrings. Concretely, we establish acorrespondence between such quantum systems and polyvalent singularitiesappearing in local Calabi-Yau manifolds. First, we examine 1-qubit byconsidering a D2-brane probing the su(2) toric singularity associated with typeIIA monovalent geometry. Then, we discuss the multi-qubits in terms of $n$factors of su(2) singularities using the Cartan decomposition of non zeroroots. Applying mirror symmetry, the 4-qubits are linked to the tetravalentsingularity associated with the affine \widehat{so(8)} Lie algebra matchingwith the ADE-correspondences in the context of quantum information theory.Precisely, these states can be identified with wrapped D4-branes in aCalabi-Yau 4-fold near such a singularity.

Multi-qubits and Polyvalent Singularity in Type II Supestring Theory