3 January 2013 On the time-optimal implementation of quantum Fourier transform for qudits represented by quadrupole nucleus
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Proceedings Volume 8700, International Conference Micro- and Nano-Electronics 2012; 87001G (2013) https://doi.org/10.1117/12.2016983
Event: International Conference on Micro-and Nano-Electronics 2012, 2012, Zvenlgorod, Russian Federation
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 > ½ 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. P. Shauro, V. E. Zobov, V. E. Zobov, "On the time-optimal implementation of quantum Fourier transform for qudits represented by quadrupole nucleus", Proc. SPIE 8700, International Conference Micro- and Nano-Electronics 2012, 87001G (3 January 2013); doi: 10.1117/12.2016983; https://doi.org/10.1117/12.2016983
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