Isometrization of Tensor Network States via Gauge Propagation

Jun 22, 2026·
Zhiyu Jiang
Zhiyu Jiang
Hiroshi Ueda
Hiroshi Ueda
· 1 min read
Abstract
We introduce a gauge-propagation approach for approximately converting generic tensor-network states into an isometric tensor-network state form with a prescribed orthogonality center. The method provides a local truncation criterion for gauge propagation and a practical route toward refinement by increasing the number of retained terms or enlarging the local cluster.
Type
Publication
arXiv:2606.22816 [cond-mat.str-el]
publications

We introduce a gauge-propagation approach for approximately converting generic tensor-network states into an isometric tensor-network state form with a prescribed orthogonality center.

The method identifies propagation-compatible local decompositions as useful building blocks for approximate isometrization and as potential initializers or preconditioners for variational isoTNS algorithms.

Zhiyu Jiang
Authors
Specially Appointed Researcher

Zhiyu Jiang is a Specially Appointed Researcher at the Center for Quantum Information and Quantum Biology, The University of Osaka.

His research interests include quantum computing, quantum algorithms, tensor networks, open quantum systems, non-Hermitian systems, quantum walks, and topological phases.

Hiroshi Ueda
Authors
Associate Professor

Hiroshi Ueda is an Associate Professor at the Center for Quantum Information and Quantum Biology (QIQB), The University of Osaka.

His research focuses on tensor network methods, quantum many-body physics, quantum algorithms, and quantum-classical hybrid computation. He develops theoretical and numerical approaches for understanding quantum many-body systems and for designing quantum algorithms inspired by tensor network structures.