Efficient implementation of quantum permutation algorithm using a polar SrO molecule in pendular states  

作　　者：Jie-Ru Hu Zuo-Yuan Zhang Jin-Ming Liu 

机构地区：[1]State Key Laboratory of Precision Spectroscopy,School of Physics and Electronic Science,East China Normal University,Shanghai 200241,China [2]School of Physical Science and Technology,Yangzhou University,Yangzhou 225009,China [3]Chongqing Key Laboratory of Precision Optics,Chongqing Institute of East China Normal University,Chongqing 401120,China

出　　处：《Communications in Theoretical Physics》2025年第2期39-51,共13页理论物理通讯(英文版)

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.92265209,11174081 and 62305285;the Natural Science Foundation of Chongqing under Grant No.CSTB2024NSCQ-MSX0643;the Shanghai Municipal Science and Technology Major Project under Grant No.2019SHZDZX01。

摘　　要：Quantum algorithms offer more enhanced computational efficiency in comparison to their classical counterparts when solving specific tasks.In this study,we implement the quantum permutation algorithm utilizing a polar molecule within an external electric field.The selection of the molecular qutrit involves the utilization of field-dressed states generated through the pendular modes of SrO.Through the application of multi-target optimal control theory,we strategically design microwave pulses to execute logical operations,including Fourier transform,oracle U_(f)operation,and inverse Fourier transform within a three-level molecular qutrit structure.The observed high fidelity of our outcomes is intricately linked to the concept of the quantum speed limit,which quantifies the maximum speed of quantum state manipulation.Subsequently,we design the optimized pulse sequence to successfully simulate the quantum permutation algorithm on a single SrO molecule,achieving remarkable fidelity.Consequently,a quantum circuit comprising a single qutrit suffices to determine permutation parity with just a single function evaluation.Therefore,our results indicate that the optimal control theory can be well applied to the quantum computation of polar molecular systems.

关 键 词：polar molecule optimal control quantum permutation algorithm pendular states 

分 类 号：O413[理学—理论物理]