We propose a new variant of the controlled-NOT quantum logic gate based on adiabatic level-crossing dynamics of the q-bits. The gate has a natural imple- Practical realization of a quantum computer requires, however, very precise and reversible time evolution of complex quantum mechanical systems, the fact that gives rise to serious doubts [4] as to whether even the simplest version of a quantum computer will ever become a reality. It is therefore important to look into various possible ways of implementing simple elements of quantum computer -quantum logic gates in order to find the optimal approach to building such a computer. Generally speaking, a quantum gate should satisfy two contradictory requirements: being isolated from the outside world in order to maintain 1