Abstract
This chapter deals with the novel characterisation of many-body physics using tools from quantum information theory. The first part focuses on the theory of entanglement, where the basic notions as bipartite versus multipartite entanglement, measures of entanglement, and the link between entangled states completely positive maps are discussed. The second part deals with the concept of area law, relating the von Neumann measure of the entropy of a subsystem with the size of the system for gapped, critical, and topological systems. The entanglement content in critical quantum systems is studied in reference to quantum phase transitions. Finally, the round states of many-body systems with a tensor network representation are described.
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