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quant-ph2026★ 1 cited
A Hierarchy of Spectral Gap Certificates for Frustration-Free Spin Systems
Kshiti Sneh Rai, Ilya Kull, Patrick Emonts +3
Estimating spectral gaps of quantum many-body Hamiltonians is a highly challenging computational task, even under assumptions of locality and translation-invariance. Yet, the quest…
quant-ph2024
Lower Bounding Ground-State Energies of Local Hamiltonians Through the Renormalization Group
Ilya Kull, Norbert Schuch, Ben Dive +1
Given a renormalization scheme, we show how to formulate a tractable convex relaxation of the set of feasible local density matrices of a many-body quantum system. The relaxation i…