Topology of hole spins in semiconductor quantum dots

In this talk, we discuss a method to flip the heavy hole spin of semiconductor quantum dots completely by an adiabatic transport of dots in the plane of two-dimensional electron gas. We estimate the geometric spin flip time for heavy holes which turned out to be much shorter time than the experimentally reported decoherence time that may provide an alternative route to flip the topologically protected heavy hole spin before reaching decoherence. By utilizing Feynman disentangling operator scheme, we find evolution matrix of heavy hole and then discuss the influence of pure Rashba and Dresshaus spin-orbit coupling effects on the geometric spin-flip probabilities due to the adiabatic motion of dots in the 2D plane. Our study may be useful for building solid-state realization of quantum computing devices