  Here we investigate the single-layer linearized perceptron near the SAT-UNSAT
transition point as a prototypical model of the convex continuous satisfaction
problems. The simplicity of the model allows us to take into account the
effects of the quantum fluctuation, which have not been fully investigated
before. We found that the classical and quantum models have different critical
exponents and thus have different universality classes. We also briefly discuss
the effects of the random field.
