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The ITensor Software Library for Tensor Network Calculations

by Matthew Fishman, Steven R. White, E. Miles Stoudenmire

Submission summary

As Contributors: Edwin Miles Stoudenmire
Preprint link: scipost_202007_00059v1
Code repository: https://github.com/ITensor/ITensors.jl
Date submitted: 2020-07-25 21:57
Submitted by: Stoudenmire, Edwin Miles
Submitted to: SciPost Physics Codebases
Discipline: Physics
Subject area: Condensed Matter Physics - Computational
Approach: Computational

Abstract

ITensor is a system for programming tensor network calculations with an interface modeled on tensor diagram notation, which allows users to focus on the connectivity of a tensor network without manually bookkeeping tensor indices. The ITensor interface rules out common programming errors and enables rapid prototyping of tensor network algorithms. After discussing the philosophy behind the ITensor approach, we show examples of each part of the interface including Index objects, the ITensor product operator, tensor factorizations, tensor storage types, algorithms for matrix product state (MPS) and matrix product operator (MPO) tensor networks, quantum number conserving block-sparse tensors, and the NDTensors library. We also review publications that have used ITensor for quantum many-body physics and for other areas where tensor networks are increasingly applied. To conclude we discuss promising features and optimizations to be added in the future.

Current status:
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Submission scipost_202007_00059v1 on 25 July 2020

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