Optimal Control in Nearly-Adiabatic Two-Level Quantum Systems via Time-Dependent Resonance

TL;DR

This paper introduces a time-dependent resonance control protocol for nearly adiabatic two-level quantum systems, demonstrating its optimality and potential for high-precision quantum state transitions.

Contribution

It proposes a novel control method based on time-dependent resonance that achieves optimal and efficient quantum state transitions in two-level systems.

Findings

The protocol exhibits properties equivalent to adiabatic control.

Numerical results show it enables high-precision state transitions.

The approach offers new insights into quantum optimal control theory.

Abstract

In this study, we theoretically analyzed a control protocol based on ``time-dependent resonance" in nearly adiabatic two-level quantum systems, demonstrating that it exhibits properties equivalent to adiabatic control. This protocol is based on ``time-dependent resonance", where the frequency corresponds to the time-dependent energy gap. Through numerical calculations, we showed that this protocol serves as an optimal control protocol. This approach enables efficient and high-precision transitions to the target state. Our findings provide a new perspective on quantum optimal control theory and suggest potential applications in qubit controls and quantum information processing.