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Nonadiabatic Quantum Search Algorithm with Analytical Success Rate

  • Feng-Guang Li
  • Wan-Su BaoEmail author
  • Tan Li
  • He-liang Huang
  • Shuo Zhang
  • Xiang-Qun Fu
Article

Abstract

In nonadiabatic quantum search algorithm, it is difficult to calculate the success rate analytically. We develop the nonadiabatic quantum search algorithm by adding a counterdiabatic driving term to the original time-dependent Hamiltonian. The Hamiltonian we structured is diagonal in eigen picture and the time-independent Schrödinger equation is solved analytically. Then, we get an accurate analytical expression of success rate in nonadiabatic quantum search algorithm. Utilizing this expression, a sufficient condition, which can ensure the success rate be one with arbitrary evolution time, was found. Moreover, we can choose the better parameters by calculating the precise success rate according to the expression.

Keywords

Nonadiabatic quantum search algorithm Counterdiabatic driving Success rate 

Notes

Acknowledgments

This work was supported by the Natural Science Foundation of China (NSFC) under Grant No.11504430.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Henan Key Laboratory of Quantum Information and CryptographyZhengzhou Information Science and Technology InstituteZhengzhouChina

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