Design of quantum Fourier transforms and quantum algorithms by using circulant Hamiltonians
Boyan T. Torosov, Nikolay V. Vitanov · Physical Review A · 2009
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.