Extending quantum control of time-independent systems to time-dependent systems

TL;DR

This paper demonstrates that control schemes effective for time-independent quantum systems can be extended to smoothly time-dependent systems with similar precision, broadening their applicability.

Contribution

It proves that control methods for static systems can be adapted to time-dependent systems with the same accuracy, extending the scope of universal dynamical control schemes.

Findings

Control schemes for static systems apply to time-dependent systems with similar precision

Extension of control validity to analytically time-dependent systems

Broadening of dynamical control scheme applicability

Abstract

We establish that if a scheme can control a time-independent system arbitrarily coupled to a generic finite bath over a short period of time $T$ with control precision $O(T^{N+1})$, it can also realize the control with the same order of precision on smoothly time-dependent systems. This result extends the validity of various universal dynamical control schemes to arbitrary analytically time-dependent systems.