Non-Abelian Geometric Phases in Triangular Structures And Universal SU(2) Control in Shape Space

J. Dai, A. Molochkov, A. J. Niemi +1

We construct holonomic quantum gates for qubits that are encoded in the near-degenerate vibrational $E$-doublet of a deformable three-body system. Using Kendall's shape theory, we…