Transitionless driving on local adiabatic quantum search algorithm

• 来源期刊: 中国物理B（英文版）
• 关键词: transitionless driving local adiabatic quantum search algorithm
• 年，卷（期）: 2018,（1）
• 页码范围: 284-288
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/1/010308

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 transi-tionless driving Hamiltonian for the local adiabatic quantum search algorithm. We found that when adding a transitionless quantum driving term HD (t ) on the local adiabatic quantum search algorithm, the success rate is 1 exactly with arbitrary evolution time by solving the time-dependent Schr?dinger 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 ofO (√N ).