  We perform comprehensive experimental tests of various composite pulse
sequences using one of open-access IBM's quantum processors, based on
superconducting transmon qubits. We implement explicit pulse control of the
qubit by making use of the opportunity of low-level access to the backend,
provided by IBM Quantum. We obtain the excitation profiles for a huge variety
of broadband, narrowband, and passband composite pulses, producing any
pre-chosen target probabilities, ranging from zero to one. We also test
universal composite pulses which compensate errors in any experimental
parameter. In all experiments, we find excellent agreement between theoretical
and experimental excitation profiles. This proves both the composite pulses as
a very efficient and flexible quantum control tool and the high quality of the
IBM quantum processor. As an extreme example, we test and observe a pronounced
narrowband excitation profile for a composite sequence of as many as 1001
pulses.
