i have an honest question, and as context i am about 10 hours into studying the schrödinger eqn for the first time (as in deriving the math). How do we know thi

i have an honest question, and as context i am about 10 hours into studying the schrödinger eqn for the first time (as in deriving the math). How do we know this QC stuff works? AFAICT no evidence of quantum supremacy has been experimentally observed, and all of QM sits on top of the measurement problem, which has led to subjective interpretation of what the abstract results mean.