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arXiv · 1211.4928

On the time-optimal implementation of quantum Fourier transform for qudits represented by quadrupole nucleus

V. P. Shauro·V. E. Zobov
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Abstract

We consider the problem of time-optimal realization of the quantum Fourier transform gate for a single qudit with number of levels d from 3 to 8. As a qudit the quadrupole nucleus with spin I > 1/2 controlled by NMR is considered. We calculate the dependencies of the gate error on the duration of radio-frequency pulse obtained by numerical optimization using Krotov-based algorithm. It is shown that the dependences of minimum time of QFT gate implementation on qudit dimension are different for integer and half-integer spins.

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V. P. Shauro, V. E. Zobov. 2012-11-21. On the time-optimal implementation of quantum Fourier transform for qudits represented by quadrupole nucleus. https://doi.org/10.1117/12.2016983

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