Cite this Article
Sun Jie, Lu Songfeng. On the usefulness of an assisted driving Hamiltonian for quantum adiabatic evolution. Chinese Physics B, 2018, 27(11): 110306  
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On the usefulness of an assisted driving Hamiltonian for quantum adiabatic evolution
Sun Jie1, 2, †, Lu Songfeng1, 3, ‡
School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China
College of Educational Information and Technology, Hubei Normal University, Huangshi 435002, China
Shenzhen Huazhong University of Science and Technology Research Institute, Shenzhen 518063, China

 

† Corresponding author. E-mail: sunjie_hust@sina.com lusongfeng@hotmail.com

Project supported by the China Postdoctoral Science Foundation (Grant No. 2017M620322), the National Natural Science Foundation of China (Grant No. 61402188), Priority for the Postdoctoral Scientific and Technological Program of Hubei Province, China in 2017, and the Science and Technology Program of Shenzhen of China (Grant Nos. JCYJ 20170818160208570 and JCYJ 20170307160458368).

Abstract

In our recent work we showed, by investigating the initialization of some unusual forms of assisted driving Hamiltonians, that the addition of an assisted driving Hamiltonian is not always useful in quantum adiabatic evolution. These unusual forms are those that are not the relatively fixed ones that are widely used in the literature. In this paper, we continue this study, providing further evidence for the validity of the conclusion above by researching some relatively more complex forms of assisted driving scheme, which generalize the ones studied in our previous work.

PACS: 03.67.Ac
Keyword:quantum adiabatic evolution;assisted driving Hamiltonian;quantum computing
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