831 citations · 8k across the 103 of their papers we have counts for
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The product structure of MPS-under-permutations
Marta Florido-Llinàs, Álvaro M. Alhambra, Rahul Trivedi +3
Tensor network methods have proved to be highly effective in addressing a wide variety of physical scenarios, including those lacking an intrinsic one-dimensional geometry. In such…
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…
Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states
Andras Molnar, Alberto Ruiz de Alarcón, José Garre-Rubio +3
Matrix Product Operators (MPOs) are tensor networks representing operators acting on 1D systems. They model a wide variety of situations, including communication channels with memo…
Mapping between Morita equivalent string-net states with a constant depth quantum circuit
Laurens Lootens, Bram Vancraeynest-De Cuiper, Norbert Schuch +1
We construct a constant depth quantum circuit that maps between Morita equivalent string-net models. Due to its constant depth and unitarity, the circuit cannot alter the topologic…
Symmetry Protected Topological Order in Open Quantum Systems
Caroline de Groot, Alex Turzillo, Norbert Schuch
We systematically investigate the robustness of symmetry protected topological (SPT) order in open quantum systems by studying the evolution of string order parameters and other pr…
Preparation and verification of tensor network states
Esther Cruz, Flavio Baccari, Jordi Tura +2
We consider a family of tensor network states defined on regular lattices that come with a natural definition of an adiabatic path to prepare them. This family comprises relevant c…