activity
20022024
most citedMatrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems

831 citations · 8k across the 103 of their papers we have counts for

collaborators

103 papers

quant-ph2024

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…

cond-mat.str-el2023★ 16 cited

Generating function for projected entangled-pair states

Wei-Lin Tu, Laurens Vanderstraeten, Norbert Schuch +3

Diagrammatic summation is a common bottleneck in modern applications of projected entangled-pair states, especially in computing low-energy excitations of a two-dimensional quantum…

cond-mat.str-el2023★ 1 cited

Entanglement Spectrum as a diagnostic of chirality of Topological Spin Liquids: Analysis of an PEPS

Mark J. Arildsen, Ji-Yao Chen, Norbert Schuch +1

We address the key question of representation of chiral topological quantum states in (2+1) dimensions (i.e., with non-zero chiral central charge) by Projected Entangled Pair State…

quant-ph2022★ 20 cited

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…

cond-mat.str-el2022★ 7 cited

Detecting emergent continuous symmetries at quantum criticality

Mingru Yang, Bram Vanhecke, Norbert Schuch

New or enlarged symmetries can emerge at the low-energy spectrum of a Hamiltonian that does not possess the symmetries, if the symmetry breaking terms in the Hamiltonian are irrele…

cond-mat.str-el2022★ 22 cited

Complete characterization of non-Abelian topological phase transitions and detection of anyon splitting with projected entangled pair states

Wen-Tao Xu, Jose Garre-Rubio, Norbert Schuch

It is well-known that many topological phase transitions of intrinsic Abelian topological phases are accompanied by condensation and confinement of anyons. However, for non-Abelian…