English

Non-Hermitian Adiabatic Quantum Optimization

Quantum Physics 2012-11-15 v5

Abstract

We propose a novel non-Hermitian adiabatic quantum optimization algorithm. One of the new ideas is to use a non-Hermitian auxiliary "initial'' Hamiltonian that provides an effective level repulsion for the main Hamiltonian. This effect enables us to develop an adiabatic theory which determines ground state much more efficiently than Hermitian methods.

Keywords

Cite

@article{arxiv.0811.4453,
  title  = {Non-Hermitian Adiabatic Quantum Optimization},
  author = {Gennady P. Berman and Alexander I. Nesterov},
  journal= {arXiv preprint arXiv:0811.4453},
  year   = {2012}
}

Comments

Minor corrections, 1 figure, 9 pages

R2 v1 2026-06-21T11:45:49.344Z