108 citations · 660 across the 24 of their papers we have counts for
5 papers · 1 filter
Exact projected entangled pair ground states with topological Euler invariant
Thorsten B. Wahl, Wojciech J. Jankowski, Adrien Bouhon +2
We report on a class of gapped projected entangled pair states (PEPS) with non-trivial Euler topology motivated by recent progress in band geometry. In the non-interacting limit, t…
Simulating quantum circuits using efficient tensor network contraction algorithms with subexponential upper bound
Thorsten B. Wahl, Sergii Strelchuk
We derive a rigorous upper bound on the classical computation time of finite-ranged tensor network contractions in dimensions. Consequently, we show that quantum circuit…
Projected Entangled Pair States with non-Abelian gauge symmetries: an SU(2) study
Erez Zohar, Thorsten B. Wahl, Michele Burrello +1
Over the last years, Projected Entangled Pair States have demonstrated great power for the study of many body systems, as they naturally describe ground states of gapped many body…
Fermionic Projected Entangled Pair States and Local U(1) Gauge Theories
Erez Zohar, Michele Burrello, Thorsten B. Wahl +1
Tensor networks, and in particular Projected Entangled Pair States (PEPS), are a powerful tool for the study of quantum many body physics, thanks to both their built-in ability of…
Matrix Product States with long-range Localizable Entanglement
Thorsten B. Wahl, David Perez-Garcia, J. Ignacio Cirac
We derive a criterion to determine when a translationally invariant matrix product state (MPS) has long-range localizable entanglement, where that quantity remains finite in the th…