基于多约束量子控制理论的分子转动态共振与非共振优化

Resonant and non-resonant optimizations by multi-constraint quantum control theory in molecular rotational states.

作者信息

Li Jin-Fang, Hu Jie-Ru, Guo Qiu-Fen, He Dong-Shan

机构信息

Department of Physics and Electronic Engineering, Xianyang Normal University, Shaanxi, 712000, China.

State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai, 200062, China.

出版信息

Sci Rep. 2022 Nov 10;12(1):19210. doi: 10.1038/s41598-022-23762-0.

DOI:10.1038/s41598-022-23762-0

PMID:36357475

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9649642/

Abstract

It is a promising research for optimization of quantum gate in the field of quantum computation. We investigate the feasibility of implementing the single-qubit gate (Hadamard) in molecular rotational system. By applying the Multi-constraint quantum optimal control method, the excepted final states can be achieved based on the molecular rotational states both in resonant and non-resonant cases with the control pulses. The permanent electric dipole moment is ignored in non-resonance. Besides, the zero-pulse area constraint and the constant fluence constraint are employed to optimize shapes of control pulses. Finally, we show that the Hadamard gate can be realized with the high fidelity (0.9999) and also examine the dependence of the fidelity on pulse fluence as well as the control pulse.

摘要

这是量子计算领域中关于量子门优化的一项有前景的研究。我们研究了在分子转动系统中实现单比特门（哈达玛门）的可行性。通过应用多约束量子最优控制方法，在有控制脉冲的情况下，无论是共振还是非共振情形，基于分子转动状态都能实现预期的最终状态。在非共振情况下忽略永久电偶极矩。此外，采用零脉冲面积约束和恒定注量约束来优化控制脉冲的形状。最后，我们表明哈达玛门能够以高保真度（0.9999）实现，并且还研究了保真度对脉冲注量以及控制脉冲的依赖性。