教学讨论

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
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  • 南京邮电大学理学院应用物理系,江苏南京210003
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

收稿日期: 2018-01-31

  修回日期: 2018-03-18

  网络出版日期: 2018-09-20

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

  • PENG Yong-gang
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  • Department of Applied Physics,Nanjing University of Posts & Technology,Nanjing,Jiangsu 210003,China

Received date: 2018-01-31

  Revised date: 2018-03-18

  Online 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.

本文引用格式

彭永刚 . 含时薛定谔方程求解在量子搜索算法设计中的应用[J]. 大学物理, 2018 , 37(9) : 17 -24 . DOI: 10.16854 /j.cnki.1000-0712.180072

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.
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