TensorTrack

An open-source tensor network library for MATLAB.

Package summary

This is a package which aims to efficiently implement the various elementary tensor algorithms that arise in the context of tensor networks. This includes various index manipulations, as well as contractions, factorizations, eigen- and linear solvers, … Additionally, for tensors which are invariant under general global symmetries, various mechanisms are in place to minimize both memory and cpu usage.

Manual

• Tensors and tensor manipulations
  • Definitions
  • Creating tensors
  • Accessing tensor data
  • Index manipulations
  • Contractions
  • Factorizations
  • Matrix functions
• Symmetries
• Algorithms

Tutorials

• Tensors

Library

• Tensors
  • Symmetry sectors
  • Fusion trees
  • Spaces
  • Kernels
  • Tensors
• Sparse
• MPS
  • States
  • Operators
• Algorithms
  • Finite MPS algorithms
  • Infinite MPS algorithms
  • Infinite PEPS algorithms
  • Eigsolvers
• Environments
• Models
• Utility
  • Options and verbosity
  • Toolbox
  • Indices
  • Linear algebra
  • Permutations
  • Sparse Arrays
  • Validations
  • Wigner
• Caches
  • GetMD5