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

## TL;DR

This paper presents a detailed simulation method for single-hole spin control in semiconductor quantum dots, demonstrating high fidelity initialization, manipulation, and readout of qubits using hierarchical equations of motion.

## Contribution

It introduces a hierarchical equations of motion approach for simulating single-hole spin dynamics, offering insights into optimizing qubit fidelity in quantum dot systems.

## Key findings

- High-fidelity qubit initialization and readout demonstrated
- Optimal control achieved through combined magnetic and optical manipulations
- Simulation results align well with experimental data

## Abstract

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.