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

Boyan T. Torosov and Nikolay V. Vitanov
Phys. Rev. A 80, 022329 – Published 21 August 2009

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.

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  • Received 30 April 2009

DOI:https://doi.org/10.1103/PhysRevA.80.022329

©2009 American Physical Society

Authors & Affiliations

Boyan T. Torosov1 and Nikolay V. Vitanov1,2

  • 1Department of Physics, Sofia University, James Bourchier 5 Boulevard, 1164 Sofia, Bulgaria
  • 2Institute of Solid State Physics, Bulgarian Academy of Sciences, Tsarigradsko Chaussée 72, 1784 Sofia, Bulgaria

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Vol. 80, Iss. 2 — August 2009

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