1. A system for providing amplitude spectroscopy of a multilevel quantum system, comprising: a generator for providing a waveform for analysis of a multilevel quantum system, wherein the generator has the capability of changing amplitude of the waveform provided and driving the multilevel quantum system at a fixed frequency while sweeping amplitude; a detector for reading population in different energy states of the multilevel quantum system, wherein the detector plots an amplitude spectroscopy response of the multilevel quantum system; a memory; and a processor configured by the memory to perform the step of plotting an energy-level diagram of the multilevel quantum system from the amplitude spectroscopy plot of the multilevel quantum system.