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Purifications of multipartite states: limitations and constructive methods
Gemma De las Cuevas, Norbert Schuch, David Pérez-García +1
We analyze the description of quantum many-body mixed states using matrix product states and operators. We consider two such descriptions: (i) as a matrix product density operator…
Condensed Matter Applications of Entanglement Theory
Norbert Schuch
These are lecture notes from the 44th IFF Spring School "Quantum Information Processing" in Juelich, discussing applications of entanglement theory in condensed matter. The focus o…
Elementary excitations in gapped quantum spin systems
Jutho Haegeman, Spyridon Michalakis, Bruno Nachtergaele +3
For quantum lattice systems with local interactions, the Lieb-Robinson bound acts as an alternative for the strict causality of relativistic systems and allows to prove many intere…
The computational complexity of density functional theory
James Daniel Whitfield, Norbert Schuch, Frank Verstraete
Density functional theory is a successful branch of numerical simulations of quantum systems. While the foundations are rigorously defined, the universal functional must be approxi…