English

Design of quantum Fourier transforms and quantum algorithms by using circulant Hamiltonians

Quantum Physics 2009-10-07 v1

Abstract

We propose a technique for design of quantum Fourier transforms, and ensuing quantum algorithms, in a single interaction step by engineered Hamiltonians of circulant symmetry. The method uses adiabatic evolution and is robust against fluctuations of the interaction parameters as long as the Hamiltonian retains a circulant symmetry.

Keywords

Cite

@article{arxiv.0910.1023,
  title  = {Design of quantum Fourier transforms and quantum algorithms by using circulant Hamiltonians},
  author = {B. T. Torosov and N. V. Vitanov},
  journal= {arXiv preprint arXiv:0910.1023},
  year   = {2009}
}

Comments

5 pages, 3 figures