Robust control pulses design for electron shuttling in solid state devices

TL;DR

This paper develops robust control pulses for electron shuttling in solid state devices, ensuring reliable transport despite uncertainties, by formulating and solving optimal control problems on SU(n).

Contribution

It introduces a novel optimal control framework for robust electron shuttling in solid state systems, with explicit gradient expressions and demonstrated numerical effectiveness.

Findings

Effective control pulses achieved for electron transfer in silicon donor chains.

Robustness to parameter uncertainties validated through numerical simulations.

Gradient-based optimization improves transfer fidelity in quantum systems.

Abstract

In this paper we study robust pulse design for electron shuttling in solid state devices. This is crucial for many practical applications of coherent quantum mechanical systems. Our objective is to design control pulses that can transport an electron along a chain of donors, and also make this process robust to parameter uncertainties. We formulate it as a set of optimal control problems on the special unitary group SU(n), and derive explicit expressions for the gradients of the aggregate transfer fidelity. Numerical results for a donor chain of ionized phosphorus atoms in bulk silicon demonstrate the efficacy of our algorithm.