I have been active in this community a while and I repeatedly see questions and answers referring to the so-called Tensor Networks. That makes me wonder what are those elements are and what the motivation behind their construction is. References about where to look for the motivation and construction of those is sought in this question.
Additionally, an insight into the importance of these elements in the quantum computing and/or quantum communication paradigms would be helpful too, as the concept is found in this site in several places.