General unifying features of controlled quantum phenomena

TL;DR

This paper reveals that various quantum control methods share a common fundamental feature rooted in the topology of the control landscape, potentially enabling hybrid schemes that combine their strengths.

Contribution

It unifies different quantum control approaches by identifying their shared topological features, providing a foundation for hybrid control development.

Findings

All quantum control methods share the same fundamental landscape topology.

Unified control landscape can guide the design of hybrid control schemes.

Potential for improved quantum control performance through hybrid strategies.

Abstract

Many proposals have been put forth for controlling quantum phenomena, including open-loop, adaptive feedback, and real-time feedback control. Each of these approaches has been viewed as operationally, and even physically, distinct from the others. This work shows that all such scenarios inherently share the same fundamental control features residing in the topology of the landscape relating the target physical observable to the applied controls. This unified foundation may provide a basis for development of hybrid control schemes that would combine the advantages of the existing approaches to achieve the best overall performance.