Since 2014 the authors have been developing an algorithm which exports to the field of information retrieval some concepts and models from quantum theory: entanglement and correlation. In this article we explore the linguistic and semiotic implications of a quantum-like semantic theory, reconstructing the relationships between our work and a wide field of study borrowing statistical instruments from quantum theory and applying them to humanities and social sciences. Finally, as an example, we will show how our algorithm works on a case study: religious discourse in new media. In particular, the application of quantum instruments is helpful to understand how the quotation of a Twitter message in the reply modifies its original semantic profile.