A comparative analysis of two methods of realizing elementary logic operators for a quantum computer on qutrits

摘要

In the present work, elementary logic operators (including selective rotation, Fourier transform, controlled phase shift, and controlled NOT operators) for a quantum computer on tristable systems (qutrits) are examined. Computer modeling of realization of these operators based on a system of two nuclear spins I = 1 is carried out by the methods of nuclear magnetic resonance. Two different methods of realizing the controlled NOT operator are presented: with the help of weak pulses of radio-frequency magnetic field selective in spin-spin interaction and with the help of strong pulses selective in quadrupole interaction. A dependence of realization errors on the interaction parameters, variable field amplitude, and pulse duration is calculated. Advantages and disadvantages of each method in the process of realization are indicated.