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

Shauro, V.; Pekhterev, D.; Zobov, V.

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.

MAGNETIC fields; MAGNETIC resonance; PHASE shift (Nuclear physics); SCATTERING (Physics); NUCLEAR quadrupole resonance; QUANTUM computers

Russian Physics Journal, 2007, Vol 50, Issue 6, p566

1064-8887

Academic Journal

10.1007/s11182-007-0084-6