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A crucial ingredient of this algorithm is the quantum Fourier transform. In the context of realizing a Hamiltonian that performs a desired unitary transformation in a 2N-port device the trace of the discrete Fourier transform is identified as a Gauß sum. See for example, P. Törmä, S. Stenholm, and I. Jex, Phys. Rev. A52, 4853 (1995).
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ed. by P. R. Berman (Academic, Chestnut Hill)
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