aqora

Entanglement Pattern Transition of Quantum States from Directed Percolation

Julian Boesl, Frank Pollmann, Michael Knap

This repository contains numerical code used to create data for the corresponding publication.

May 24, 20260 citations

Tunable transport in the mass-imbalanced Fermi Hubbard model

Philip Zechmann, Alvise Bastianello, Michael Knap

This repository contains code files used to create data and figures for the corresponding publication.

May 24, 20221 citation

Skeleton of isometric Tensor Network States for Abelian String-Net Models

Julian Boesl, Yu-Jie Liu, Frank Pollmann +1 more

We construct parametrized isometric tensor network states -- referred to as skeletons -- that allow us to explore phases of abelian topological order and can be efficiently implemented on quantum processors. We obtain stable finite correlation length deformations of string-net fixed points, which are constructed both by conserving virtual symmetries of the tensor and by imposing local isometry constraints. They connect distinct topological phases via a shared critical point, thereby providing analytically tractable examples of phase transitions beyond anyon condensation. By mapping such classes of 2D tensor networks to 1D stochastic automata with local update rules, we show that expectation values of generalized Pauli strings of arbitrary weight can be efficiently computed using classical methods. Therefore these skeletons not only serve as an organizing principle for abelian topological order but also provide a non-trivial testbed for quantum processors.We construct parametrized isometric tensor network states -- referred to as skeletons -- that allow us to explore phases of abelian topological order and can be efficiently implemented on quantum processors. We obtain stable finite correlation length deformations of string-net fixed points, which are constructed both by conserving virtual symmetries of the tensor and by imposing local isometry constraints. They connect distinct topological phases via a shared critical point, thereby providing analytically tractable examples of phase transitions beyond anyon condensation. By mapping such classes of 2D tensor networks to 1D stochastic automata with local update rules, we show that expectation values of generalized Pauli strings of arbitrary weight can be efficiently computed using classical methods. Therefore these skeletons not only serve as an organizing principle for abelian topological order but also provide a non-trivial testbed for quantum processors.

quant-pharXiv:2511.13821Physical Review LettersNov 19, 20251 citation

Data and simulation code for "Non-Abelian operator size distribution in charge-conserving many-body systems"

Tarakemeh, Mina, Xu, Shenglong

This file contains code and data to create the figures in the publication.

Nov 20, 20250 citations

Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model

Philip Zechmann, Ehud Altman, Michael Knap +1 more

This repository contains datasets and simulation code used to create data and figures for the corresponding publication.

Oct 19, 20221 citation

A programming guide for tensor networks with global SU(2) symmetry

Philipp Schmoll, Sukhbinder Singh, Matteo Rizzi +1 more

arXiv:1809.08180Annals of PhysicsJun 24, 202036 citations