Little if any empirical research has been done into the quality of entropy associated with repeatedly observing a quantum state. Pretty easily accomplished using an RTOS (RT_PREEMPT or Xenomai) with GPIO sampling, and with n-dimensional phase space analysis of that dataset to determine if any patterns emerge. There are plenty of tools from the field of chaos theory and nonlinear dynamical systems analysis to prove or disprove the fundamental nature of quantum randomness with.