Precise simulation for single-hole spin control in semiconductor quantum dots

The precise simulation of the preparation, control, and readout of a single-hole spin is investigated via hierarchical equations of motion(HEOM) approach. By ionization of a resonantly excited electron-hole pair and tunneling the conduction level electrons into electrodes, a single-hole spin qubit is initialized. SU(2) control is achieved via the combination of Larmor procession of the hole spin in Voigt geometry magnetic field and rotation about the optical axis with a geometric phase induced by a picosecond laser pulse. Read-out of the qubit is implemented through photocurrent. We compared the whole simulation process with experiments, demonstrate the optimal of fidelity due to broadening effect.