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Manual

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

Tutorials

  • Tensors
    • Uniform matrix product states
      • Matrix product states in the thermodynamic limit
        • 1 Normalization
        • 2 Gauge freedom
        • 3 Truncation of a uniform MPS
        • 4 Algorithms for finding canonical forms
        • 5 Computing expectation values
      • Finding ground states of local Hamiltonians
        • 1 Introduction
        • 2 The gradient
        • 3 Gradient descent algorithms
        • 4 The VUMPS algorithm
        • 5 Elementary excitations
      • Transfer matrices and fixed points
        • 1 MPS as fixed points of one-dimensional transfer matrices
        • 2 The VUMPS algorithm for MPOs
        • 3 The two-dimensional classical Ising model

Library

  • Tensors
    • Symmetry sectors
      • Type hierarchy
      • Concrete charge types
      • Helper routines
    • Fusion trees
    • Spaces
      • Type hierarchy
      • Concrete space types
      • Convenience constructor wrappers
      • Helper classes
    • 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

Index

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TensorTrack
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Tensors¶

Uniform matrix product states¶

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Matrix product states in the thermodynamic limit

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Finding ground states of local Hamiltonians

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Transfer matrices and fixed points

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