64 citations · 161 across the 4 of their papers we have counts for
7 papers · 1 filter
Matrix product operator symmetries and intertwiners in string-nets with domain walls
Laurens Lootens, Jürgen Fuchs, Jutho Haegeman +2
We provide a description of virtual non-local matrix product operator (MPO) symmetries in projected entangled pair state (PEPS) representations of string-net models. Given such a P…
Riemannian optimization of isometric tensor networks
Markus Hauru, Maarten Van Damme, Jutho Haegeman
Several tensor networks are built of isometric tensors, i.e. tensors satisfying . Prominent examples include matrix product states (MPS) in canonical form…
Geometry of variational methods: dynamics of closed quantum systems
Lucas Hackl, Tommaso Guaita, Tao Shi +3
We present a systematic geometric framework to study closed quantum systems based on suitably chosen variational families. For the purpose of (A) real time evolution, (B) excitatio…
Tangent-space methods for truncating uniform MPS
Bram Vanhecke, Maarten Van Damme, Jutho Haegeman +2
A central primitive in quantum tensor network simulations is the problem of approximating a matrix product state with one of a lower bond dimension. This problem forms the central…
Galois conjugated tensor fusion categories and non-unitary CFT
Laurens Lootens, Robijn Vanhove, Jutho Haegeman +1
We provide a generalisation of the matrix product operator (MPO) formalism for string-net projected entangled pair states (PEPS) to include non-unitary solutions of the pentagon eq…
Rigorous free fermion entanglement renormalization from wavelet theory
Jutho Haegeman, Brian Swingle, Michael Walter +3
We construct entanglement renormalization schemes which provably approximate the ground states of non-interacting fermion nearest-neighbor hopping Hamiltonians on the one-dimension…