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An Information-Theoretic Proof of the Constructive Commutative Quantum Lovász Local Lemma
Martin Schwarz, Toby S. Cubitt, Frank Verstraete
The Quantum Lovász Local Lemma (QLLL) [AKS12] establishes non-constructively that any quantum system constrained by a local Hamiltonian has a zero-energy ground state, if the local…
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…
Post-Matrix Product State Methods: To tangent space and beyond
Jutho Haegeman, Tobias J. Osborne, Frank Verstraete
We develop in full detail the formalism of tangent states to the manifold of matrix product states, and show how they naturally appear in studying time-evolution, excitations and s…
Entanglement rates and area laws
Karel Van Acoleyen, Michaël Mariën, Frank Verstraete
We prove an upper bound on the maximal rate at which a Hamiltonian interaction can generate entanglement in a bipartite system. The scaling of this bound as a function of the subsy…