  We experimentally constructed an all-microwave scheme for the controlled-NOT
(cNOT) gate between two superconducting transmon qubits in a three dimensional
cavity. Our cNOT gate is based on the microwave-activated phase (MAP) gate,
which requires an additional procedure to compensate the accumulated phases
during the operation of the MAP gate. We applied Z-axis phase gates using
microwave hyperbolic secant pulse on both qubits with adequate rotation angles
systematically calibrated by separate measurements.We evaluated the gate
performance of the constructed cNOT gate by performing two-qubit quantum
process tomography (QPT). Finally, we present the experimental implementation
of Deutsch-Jozsa algorithm using the cNOT gate.
