两量子位Grover量子算法NMR脉冲序列参量的研究  

NMR Pulse Sequence Parameters Design of Grover Quantum Algorithm

作　　者：彭永刚[1] 

机构地区：[1]南京邮电大学理学院应用物理系,南京210003

出　　处：《光子学报》2010年第10期1806-1810,共5页Acta Photonica Sinica

基　　金：国家自然科学基金(10904074)资助

摘　　要：从两量子位核磁共振量子计算机物理模型出发,通过解单体含时薛定谔方程和解两体含时薛定谔方程,提出了Grover量子算法核磁共振脉冲序列参量设定的两种规则,给出了具体参量取值,并进行了数值仿真,仿真结果表明:解两体薛定谔方程给出的参量设定规则,能使两量子位量子搜索的目标态是纯基态,目标态的z分量期望值精确度达到在小数点后三位与理论值完全相同,验证了我们提出的参量设定规则的正确性.Based on physical model of two-qubit quantum computer,two kinds of rules were proposed by solving single-body and two-body the time-dependent Schrdinger equation for designing nuclear magnetic resonance pulse sequence parameter of Grover quantum algorithm.Specified parameters were given through two kinds of designing rules and numerical simulations were carried out as specifying parameters.Results from the simulations show that target state is a pure basis state after running specified parameters by solving two-body the time-dependent Schrdinger equation and the expectation value of z-component of target state agrees with the theoretical values with a precision about 10-3.It is confirmed that rules of designing parameter is correct.

关 键 词：参量设定 核磁共振脉冲序列 含时薛定谔方程 Grover量子算法数值仿真 

分 类 号：O431.2[机械工程—光学工程]