中国物理B ›› 2018, Vol. 27 ›› Issue (1): 10308-010308.doi: 10.1088/1674-1056/27/1/010308
Transitionless driving on local adiabatic quantum search algorithm
Feng-guang Li(李风光), Wan-su Bao(鲍皖苏), Shuo Zhang(张硕), Xiang Wang(汪翔), He-liang Huang(黄合良), Tan Li(李坦), Bo-wen Ma(马博文)
- 1 Henan Key Laboratory of Quantum Information and Cryptography, Zhengzhou Information Science and Technology Institute, Zhengzhou 450001, China;
2 Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
Transitionless driving on local adiabatic quantum search algorithm
Feng-guang Li(李风光)1,2, Wan-su Bao(鲍皖苏)1,2, Shuo Zhang(张硕)1,2, Xiang Wang(汪翔)1,2, He-liang Huang(黄合良)1,2, Tan Li(李坦)1,2, Bo-wen Ma(马博文)1,2
- 1 Henan Key Laboratory of Quantum Information and Cryptography, Zhengzhou Information Science and Technology Institute, Zhengzhou 450001, China;
2 Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
摘要： We apply the transitionless driving on the local adiabatic quantum search algorithm to speed up the adiabatic process. By studying quantum dynamics of the adiabatic search algorithm with the equivalent two-level system, we derive the transitionless driving Hamiltonian for the local adiabatic quantum search algorithm. We found that when adding a transitionless quantum driving term HD ≤ ft(t) on the local adiabatic quantum search algorithm, the success rate is 1 exactly with arbitrary evolution time by solving the time-dependent Schrödinger equation in eigen-picture. Moreover, we show the reason for the drastic decrease of the evolution time is that the driving Hamiltonian increases the lowest eigenvalues to a maximum of O ≤ ft(√N).
中图分类号: (Quantum algorithms, protocols, and simulations)
- 03.67.Ac