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

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 fina...

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Main Authors: Jin-Fang Li, Jie-Ru Hu, Qiu-Fen Guo, Dong-Shan He
Format: Article
Language:English
Published: Nature Portfolio 2022-11-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-23762-0
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author Jin-Fang Li
Jie-Ru Hu
Qiu-Fen Guo
Dong-Shan He
author_facet Jin-Fang Li
Jie-Ru Hu
Qiu-Fen Guo
Dong-Shan He
author_sort Jin-Fang Li
collection DOAJ
description 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.
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spelling doaj.art-d35283e120544856b2746d92abc2b7042022-12-22T03:36:52ZengNature PortfolioScientific Reports2045-23222022-11-0112111210.1038/s41598-022-23762-0Resonant and non-resonant optimizations by multi-constraint quantum control theory in molecular rotational statesJin-Fang Li0Jie-Ru Hu1Qiu-Fen Guo2Dong-Shan He3Department of Physics and Electronic Engineering, Xianyang Normal UniversityState Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal UniversityDepartment of Physics and Electronic Engineering, Xianyang Normal UniversityDepartment of Physics and Electronic Engineering, Xianyang Normal UniversityAbstract 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.https://doi.org/10.1038/s41598-022-23762-0
spellingShingle Jin-Fang Li
Jie-Ru Hu
Qiu-Fen Guo
Dong-Shan He
Resonant and non-resonant optimizations by multi-constraint quantum control theory in molecular rotational states
Scientific Reports
title Resonant and non-resonant optimizations by multi-constraint quantum control theory in molecular rotational states
title_full Resonant and non-resonant optimizations by multi-constraint quantum control theory in molecular rotational states
title_fullStr Resonant and non-resonant optimizations by multi-constraint quantum control theory in molecular rotational states
title_full_unstemmed Resonant and non-resonant optimizations by multi-constraint quantum control theory in molecular rotational states
title_short Resonant and non-resonant optimizations by multi-constraint quantum control theory in molecular rotational states
title_sort resonant and non resonant optimizations by multi constraint quantum control theory in molecular rotational states
url https://doi.org/10.1038/s41598-022-23762-0
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AT qiufenguo resonantandnonresonantoptimizationsbymulticonstraintquantumcontroltheoryinmolecularrotationalstates
AT dongshanhe resonantandnonresonantoptimizationsbymulticonstraintquantumcontroltheoryinmolecularrotationalstates