In this paper, we find the minimal number of correlation tests required to certify independence two classical random variables arbitrary finite support. Moreover, completely characterize constraints implied by zero correlations upon an heterogeneous quantum state, and solve conjecture proposed Ohira in 2020. Finally, first ever algorithm for computing (or checking) Schmidt rank any unknown pure...

• If we have data that are measurable (eg. height, time, weight, age, test score, etc.) then we can use the coefficient of correlation (r) to measure the strength of the linear association between two sets of data. • If we have two sets of rankings, then we can use Spearman's Rank Order Correlation Coefficient to measure the strength of the association between them. • However, both of these tec...