This paper concerns the realization of f-controlled phase shift opreation which is the core of various quantum algorithms. Using quantum combinational logic curcuits, I build up operation sequences for 3-bit f-controlled phase shift opreations where f are balenced-functions. These operation sequences are very efficent ones when interaction between some two qubits is so weak that the interaction can't be used for computation. I also modified refocusing scheme for the precision of actual operation. In the experiment, using 3-bit NMR quantum computer, I realize refined-Deutsch algorithm, which contains f-controlled phase shift operation. This work may be the first implementation of two-bit quantum gate between non-interacting qubits without swap operation.
