English

Quantum search by partial adiabatic evolution

Data Structures and Algorithms 2015-05-19 v1 Quantum Physics

Abstract

A quantum search algorithm based on the partial adiabatic evolution\cite{Tulsi2009} is provided. We calculate its time complexity by studying the Hamiltonian in a two-dimensional Hilbert space. It is found that the algorithm improves the time complexity, which is O(N/M)O(\sqrt{N/M}), of the local adiabatic search algorithm\cite{Roland2002}, to O(N/M)O(\sqrt{N}/M).

Cite

@article{arxiv.1007.1528,
  title  = {Quantum search by partial adiabatic evolution},
  author = {Ying-Yu Zhang and Song-Feng Lu},
  journal= {arXiv preprint arXiv:1007.1528},
  year   = {2015}
}
R2 v1 2026-06-21T15:46:18.405Z