33 citations · 57 across the 6 of their papers we have counts for
6 papers
Spin models with critical ground space degeneracy from Lie algebra relations
Andras Molnar, Efekan Kökcü, Norbert Schuch +1
We introduce an -symmetric spin model derived from the algebraic structure of : It is obtained as the nearest-neighbor parent Hamiltonian of a Mat…
Lower Bounds on Spectral Gaps of Parent Hamiltonians via Tensor Networks
Milán Ádám Rozmán, András Molnár, Norbert Schuch
Proving spectral gaps above the ground space is a central problem in quantum many-body physics. Yet, finding lower bounds on the gap is notoriously difficult. We revisit the martin…
Complexity of Quadratic Bosonic Hamiltonian Simulation: BQP-Completeness and PostBQP-Hardness
Lilith Zschetzsche, Refik Mansuroglu, Norbert Schuch
The computational complexity of simulating the dynamics of physical quantum systems is a central question at the interface of quantum physics and computer science. In this work, we…
Simple Hamiltonians for Matrix Product State models
Norbert Schuch, Andras Molnar, David Perez-Garcia
Matrix Product States (MPS) and Tensor Networks provide a general framework for the construction of solvable models. The best-known example is the Affleck-Kennedy-Lieb-Tasaki (AKLT…
Projected Entangled Pair States: Fundamental analytical and numerical limitations
G. Scarpa, A. Molnar, Y. Ge +4
Matrix Product States (MPS) and Projected Entangled Pair States (PEPS) are powerful analytical and numerical tools to assess quantum many-body systems in one and higher dimensions,…
Robustness in Projected Entangled Pair States
J. I. Cirac, S. Michalakis, D. Perez-Garcia +1
We analyze a criterion which guarantees that the ground states of certain many body systems are stable under perturbations. Specifically, we consider PEPS, which are believed to pr…