Multi-qubits and Polyvalent Singularity in Type II Supestring Theory

Understand

Inspired by geometric engineering method, we approach qubit systems in the context of D-branes in type II superstrings.

• Concretely, we establish a correspondence between such quantum systems and polyvalent singularities appearing in local Calabi-Yau manifolds.
• First, we examine 1-qubit by considering a D2-brane probing the su(2) toric singularity associated with type IIA monovalent geometry.
• Then, we discuss the multi-qubits in terms of $n$ factors of su(2) singularities using the Cartan decomposition of non zero roots.