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arXiv · 0910.1023

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

B. T. Torosov·N. V. Vitanov
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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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B. T. Torosov, N. V. Vitanov. 2009-10-06. Design of quantum Fourier transforms and quantum algorithms by using circulant Hamiltonians. https://doi.org/10.1103/physreva.80.022329

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