In the realm of physics, causality remains an enigmatic and debated concept. Though numerous measures of causality have been proposed, including Causal Influence, Liam’s causality, Pearl’s average causal effect, Granger’s causality, and Transfer entropy , a unified consensus on its characterization and quantification has yet to be reached. This thesis focuses on transfer entropy, a model-free metric introduced by Thomas Schreiber, with widespread applications across many disciplines. Notably, transfer entropy has been used in fields like neuroscience, finance, and the study of complex systems. Our aim is to provide a comprehensive understanding of transfer entropy and explore its application to quantum circuits.