The single-body time-dependent Schr?dinger equation is solved under the condition of nuclear magnetic resonance, and the rotation operators of nuclear spin around[x]-axis and[y]-axis are given. According to the definition of quantum controlled-not gate, the nuclear magnetic resonance pulse sequence is designed to realize the quantum controlled-not gate. Using the condition that the interaction time between two nuclear spins is much shorter than the duration of radio frequency pulse, the two-body time-dependent Schrödinger equation in nuclear magnetic resonance is approximately solved in the rotating reference frame and parameter values of quantum controlled-not gate pulse sequence are given. According to the Suzuki symmetric product formula, the time-dependent Schrödinger equation is numerically calculated. The numerical results confirm the correctness of the design and parameter values of quantum controlled-not gate pulse sequence.

%U http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.2008-0399