English

Hamiltonian engineering for adiabatic quantum computation: Lessons from shortcuts to adiabaticity

Quantum Physics 2019-03-05 v2

Abstract

We discuss applications of shortcuts to adiabaticity (STA) to adiabatic quantum computation. After reviewing the fundamental properties and the present status of STA from the author's personal point of view, we apply the method to the adiabatic algorithm of the Grover's problem. We discuss two possible implementations of STA for the adiabatic quantum computations: the method of quantum adiabatic brachistochrone and the Lewis-Riesenfeld invariant-based inverse engineering.

Keywords

Cite

@article{arxiv.1808.07177,
  title  = {Hamiltonian engineering for adiabatic quantum computation: Lessons from shortcuts to adiabaticity},
  author = {Kazutaka Takahashi},
  journal= {arXiv preprint arXiv:1808.07177},
  year   = {2019}
}

Comments

10 pages, 8 figures, article for JPSJ Special Topics, minor changes for v2

R2 v1 2026-06-23T03:40:16.127Z