Mardi 10 janvier 2017 à 11h00
Salle 234, Ecole de Physique

New tools from quantum information theory for the analysis of many body systems

Michael Kastoryano, Copenhagen

Perhaps the most celebrated result in quantum information theory is the strong subadditivity of quantum entropy: S(AB)+S(BC)-S(A)-S(ABC) >=0, for three subsystems ABC, and where S(X) is the von-Neumann entropy of subsystem X. Virtually every other inequality is derived from this one. Recently a strengthening of this inequality has been proved, that allows for a quantitative extension of a number of important inequalities. I this talk, I will outline a number of applications of this important new result to the analysis of many-body systems; including (i) efficient simulation of many body systems on a quantum computer, (ii) efficient representation of many-body states, (iii) topological order and edge states, (iv) critical systems and the AdS/CFT correspondence.