English

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

Quantum Physics 2025-01-03 v1

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.

Keywords

Cite

@article{arxiv.2501.00293,
  title  = {Optimal Control in Nearly-Adiabatic Two-Level Quantum Systems via Time-Dependent Resonance},
  author = {Takayuki Suzuki},
  journal= {arXiv preprint arXiv:2501.00293},
  year   = {2025}
}
R2 v1 2026-06-28T20:53:07.767Z