In a general aspect, hybrid computing systems and hybrid computing methods are described. In some cases, a program to be executed in a hybrid computing system is identified. The hybrid computing system includes a control system that includes a classical processor. The hybrid computing system includes a quantum processor that defines qubits. By operation of the control system, a set of events to execute the program is identified. By operation of the control system, an event schedule that includes resource schedules for the respective qubits is generated. The event schedule is executed in the hybrid computing system. The event schedule, when executed in the hybrid computing system, coordinates operation of the quantum processor and the classical processor.