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

• 教学讨论 • 上一篇    下一篇

含时薛定谔方程求解在量子搜索算法设计中的应用

彭永刚   

  1. 南京邮电大学理学院应用物理系,江苏南京210003
  • 收稿日期:2018-01-31 修回日期:2018-03-18 出版日期:2018-09-20 发布日期:2018-09-20
  • 作者简介:彭永刚( 1964—) ,男,江苏南京人,南京邮电大学理学院应用物理学系副教授,主要从事量子力学、量子信息技术和大学物理教学 以及量子信息研究工作.

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

摘要: 从两量子位核磁共振量子计算机物理模型出发,在旋转参考系中通过近似解两体含时薛定谔方程,给出了两量子 位量子搜索算法核磁共振脉冲序列参量设定的规则,给出了参量取值.根据Suzuki 对称乘积公式,将一个时间演化算符分解成 若干对称指数算符有序乘积,用该方法对含时薛定谔进行数值计算,数值计算结果验证参量设定的规则及参量具体取值是正 确的.

关键词: 量子搜索算法, 核磁共振脉冲序列, 含时薛定谔方程近似求解, 数值计算

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