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

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

2009-10-06

arxiv.org/abs/0910.1023v1

Phys. Rev. A 80, 022329 (2009)

Physics

Quantum Physics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevA.80.022329

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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