Optimally controlled non-adiabatic quantum state transmission in the presence of quantum noise

TL;DR

This paper demonstrates that using the Adam algorithm to optimize pulse sequences significantly improves non-adiabatic quantum state transmission fidelity in noisy environments, outperforming idealized sequences especially with strong system-bath coupling.

Contribution

It introduces a universal optimal control method using the Adam algorithm to enhance quantum state transmission fidelity under quantum noise.

Findings

Optimal pulse sequences dramatically improve fidelity.

Adam algorithm outperforms ideal sequences in noisy conditions.

Method is effective across various system sizes and noise types.

Abstract

Pulse controlled non-adiabatic quantum state transmission (QST) was proposed many years ago. However, in practice environmental noise inevitably damages communication quality in the proposal. In this paper, we study the optimally controlled non-adiabatic QST in the presence of quantum noise. By using the Adam algorithm, we find that the optimal pulse sequence can dramatically enhance the transmission fidelity of such an open system. In comparison with the idealized pulse sequence in a closed system, it is interesting to note that the improvement of the fidelity obtained by the Adam algorithm can even be better for a bath strongly coupled to the system. Furthermore, we find that the Adam algorithm remains powerful for different number of sites and different types of Lindblad operators, showing its universality in performing optimal control of quantum information processing tasks.