Precise simulation of single-hole spin control in quantum dots

The initialization, control, and readout of a single-hole spin qubit is precisely simulated by accurately solving the extended Anderson impurity model in the real-time domain with the hierarchical equations of motion approach. The initialization is realized by ionization of an exciton with high fidelity. Then, a SU(2) control is achieved via the combination of Larmor precession of the hole spin in Voigt geometry magnetic field and rotation about the optical axis with a geometric phase. Finally, the readout of the qubit is implemented through photocurrent recording. Our theory not only reproduces the recent experimental results with one set of internal parameters but also predicts a maximal fidelity by adjusting the dot-electrode coupling strength.