,Physical Realization of Quantum C-Not Gate

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We investigate a Heisenberg spin cluster with two particles controlled by a time-dependent magnetic field.The system is controlled by tuning the amplitude,frequency,and interaction time of the three-step time-dependent magnetic field.Then we solve the time-dependent Schr(o)dinger equation of the two-particle system,and obtain the time evolution operator.By the three-timestep interaction,the wavefunction evolves from the initial state to the final state,and the total evolution operator can be expressed as a product of the three evolution operators.By adjusting the physical parameters,the key two-qubjt logic gate,the C-Not gate,can be realized physically.
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