This project is used for the paper Differentiable Programming of Isometric Tensor Network

Last update: Dec 13, 2022

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Deep Learning IsoTensor

Overview

Isometric Tensor Network

This project is used for the paper "Differentiable Programming of Isometric Tensor Network". (arXiv:2110.03898)

Main features:

Auto-gradient based isometric tensor network construction (MERA and TNR).
Several built-in spin models
Multiple optimizers and retraction methods
Compatible with the graduate lifting bond dimension trick
Dynamical switching optimizers
Computing scaling dimensions

In future:

More models, optimizers and retraction methods
Layers for variation structures of MERA and TNR
Quantum machine learning
...

Dependencies

The code requires Python and PyTorch, with optional CUDA support.

Gallery

Computation process of MERA

Computation process of TNR

Comparing methods

The comparison of Evenbly-Vidal method and random mixed method in MERA. Cusps here indicate the position of lifting bond dimensions.

Scaling dimensions

The scaling dimensions extracted from TNR.

Owner

Chenhua Geng

GitHub Repository

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