On the usefulness of an assisted driving Hamiltonian for quantum adiabatic evolution

doi:10.1088/1674-1056/27/11/110306

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.

Keywords: quantum adiabatic evolution assisted driving Hamiltonian quantum computing

Received: 14 May 2018
Revised: 26 August 2018
Accepted manuscript online:

PACS:

03.67.Ac

(Quantum algorithms, protocols, and simulations)

Fund:

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).

Corresponding Authors: Jie Sun, Songfeng Lu
E-mail: sunjie_hust@sina.com;lusongfeng@hotmail.com

Cite this article:

Jie Sun(孙杰), Songfeng Lu(路松峰) On the usefulness of an assisted driving Hamiltonian for quantum adiabatic evolution 2018 Chin. Phys. B 27 110306

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On the usefulness of an assisted driving Hamiltonian for quantum adiabatic evolution

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