The ITensor Software Library for Tensor Network Calculations

Author:

Fishman Matthew1,White Steven2,Stoudenmire Edwin1

Affiliation:

1. Flatiron Institute

2. University of California, Irvine

Abstract

ITensor is a system for programming tensor network calculations with an interface modeled on tensor diagrams, allowing 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 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.

Funder

National Science Foundation

Simons Foundation

United States Department of Energy

Publisher

Stichting SciPost

Subject

Fluid Flow and Transfer Processes,Otorhinolaryngology,Sociology and Political Science,History,Philosophy,General Mathematics,General Medicine,Political Science and International Relations,Sociology and Political Science,History,Sociology and Political Science,History,Communication,Cultural Studies,Religious studies,History,Biomaterials,Visual Arts and Performing Arts,Cultural Studies,Social Psychology

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