Exact solutions for time-optimal control of spin I=1 by NMR

V. P. Shauro

Published 2014-10-21Version 1

We consider the problem of time-optimal control of quadrupole nucleus with the spin I=1 by NMR. In contrast to the conventional methods based on selective pulses, the control is implemented using nonselective pulses separated by free evolution intervals. Using the Cartan decomposition, the system of equations is obtained for finding parameters of a control field. Partial time-optimal solutions for the important single-qutrit gates (selective rotations and quantum Fourier transform) are found. The analytical values of minimum gate implementation times are consistent with the numerical data.