College Physics ›› 2018, Vol. 37 ›› Issue (9): 17-24.doi: 10.16854 /j.cnki.1000-0712.180072

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Application of time-dependent Schrdinger equation to the design of quantum search algorithm

PENG Yong-gang   

  1. Department of Applied Physics,Nanjing University of Posts & Technology,Nanjing,Jiangsu 210003,China
  • Received:2018-01-31 Revised:2018-03-18 Online:2018-09-20 Published:2018-09-20

Abstract: Based on the two-qubit quantum computer physical model,the rule of designing quantum search algorithm nuclear magnetic resonance pulse sequence parameters is proposed through the approximate solution of the two-body the time-dependent Schrdinger equation in a rotating frame. Specified parameters are given. According to the Suzuki symmetric product-formula,the time-step evolution operator is decomposed into ordered product of some symmetric exponential operators. By using this method,the time-dependent Schrdinger equation is numerically calculated. The numerical calculation results verify that parameters and rules of designing parameter are correct.

Key words: quantum search algorithm, NMR pulse sequence, approximate solution of the time-dependent Schrdinger equation, numerical calculation