Abstract: A method, apparatus, a product comprising: obtaining a propagator module of a quantum function of a quantum program, the propagator module is programmed using a classical programming language, the propagator module configured to obtain as input a first domain of values for a first circuit parameter and a second domain of values for a second circuit parameter, and to output first and second sub-domains of the first and second domains of values, respectively; obtaining constraints of the quantum function; obtaining an optimization scheme that is defined over the first and second circuit parameters; generating a constraint problem based on the propagator module, the constraints, and the optimization scheme; resolving the constraint problem based on a constraint solver, a resolution comprising at least first and second values for the first and second circuit parameter; and synthesizing the quantum function according to the resolution.