Realization of quantum permutation algorithm in high dimensional Hilbert space  

作　　者：陈东旭 刘瑞丰 张沛 王云龙 李宏荣 高宏 李福利 

机构地区：[1]Key Laboratory of Quantum Information and Quantum Optoelectronic Devices,School of Science,Xi'an Jiaotong University [2]Key Laboratory of Quantum Information,University of Science and Technology of China

出　　处：《Chinese Physics B》2017年第6期42-46,共5页中国物理B（英文版）

基　　金：supported by the Fundamental Research Funds for the Central Universities;the National Natural Science Foundation of China(Grant Nos.11374008,11374238,11374239,and 11534008)

摘　　要：Quantum algorithms provide a more efficient way to solve computational tasks than classical algorithms. We experimentally realize quantum permutation algorithm using light＇s orbital angular momentum degree of freedom. By exploiting the spatial mode of photons, our scheme provides a more elegant way to understand the principle of quantum permutation algorithm and shows that the high dimension characteristic of light＇s orbital angular momentum may be useful in quantum algorithms. Our scheme can be extended to higher dimension by introducing more spatial modes and it paves the way to trace the source of quantum speedup.Quantum algorithms provide a more efficient way to solve computational tasks than classical algorithms. We experimentally realize quantum permutation algorithm using light＇s orbital angular momentum degree of freedom. By exploiting the spatial mode of photons, our scheme provides a more elegant way to understand the principle of quantum permutation algorithm and shows that the high dimension characteristic of light＇s orbital angular momentum may be useful in quantum algorithms. Our scheme can be extended to higher dimension by introducing more spatial modes and it paves the way to trace the source of quantum speedup.

关 键 词：quantum permutation algorithm orbital angular momentum Fourier transformation 

分 类 号：O413[理学—理论物理]