Efficient unitary method for simulation of driven quantum dot systems

TL;DR

This paper introduces a fast, unitary-based simulation method for driven quantum dot systems that significantly reduces computation time compared to traditional density matrix approaches, enabling more efficient exploration of quantum dynamics.

Contribution

The authors develop a novel unitary computation technique optimized for simulating closed quantum systems, achieving over two orders of magnitude speedup over existing density matrix methods.

Findings

Unitary method is over 100 times faster than density matrix approach.

The method accurately predicts quantum dot system dynamics.

Applicable to realistic multi-state quantum systems.

Abstract

Density matrices evolved according the von Neumann equation are commonly used to simulate the dynamics of driven quantum systems. However, computational methods using density matrices are often too slow to explore the large parameter spaces of solid state quantum systems. Here we develop a unitary computation method to quickly perform simulations for closed quantum systems, where dissipation to the environment can be ignored. We use three techniques to optimize simulations, apply them to six time-dependent pulses for a semiconductor quantum dot qubit system, and predict the dynamic evolutions. We compare computational times between our unitary method and the density matrix method for a variety of image sizes. As an example, we implement our unitary method for a realistic four-state system [Z. Shi, et al., Nat. Commun. 5, 3020 (2014)], and find that it is over two orders of magnitude faster than the corresponding density matrix method implemented in the popular quantum simulation software QuTiP.