127 citations · 291 across the 9 of their papers we have counts for
9 papers
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…
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…
Gauging quantum states with non-anomalous matrix product operator symmetries
José Garre Rubio, Ilya Kull
Gauging a global symmetry of a system amounts to introducing new degrees of freedom whose transformation rule makes the overall system observe a local symmetry. In quantum systems…
Uncertainty and Trade-offs in Quantum Multiparameter Estimation
Ilya Kull, Philippe Allard Guérin, Frank Verstraete
Uncertainty relations in quantum mechanics express bounds on our ability to simultaneously obtain knowledge about expectation values of non-commuting observables of a quantum syste…
A Spacetime Area Law Bound on Quantum Correlations
Ilya Kull, Philippe Allard Guérin, Časlav Brukner
Area laws are a far-reaching consequence of the locality of physical interactions, and they are relevant in a range of systems, from black holes to quantum many-body systems. Typic…
Classification of Matrix Product States with a Local (Gauge) Symmetry
Ilya Kull, Andras Molnar, Erez Zohar +1
Matrix Product States (MPS) are a particular type of one dimensional tensor network states, that have been applied to the study of numerous quantum many body problems. One of their…