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TensorNetworks

Guides

  • TensorNetworks

Tech Notes

  • Building Tensor Networks
  • Contraction Paths and Execution
  • Matrix Product States
  • A Working Tour of the Symmetry Functions
  • Tensor Networks Overview
  • Young Tableaux and Tensor Symmetries

Symbols

  • ActivateTensors
  • BinaryTensorNetwork
  • BinaryTensorNetworkQ
  • CanonicalPath
  • CanonicalPathQ
  • ContractIndices
  • ContractionTree
  • EinsteinSummation
  • GreedyContractionPath
  • HookFactor
  • HookLength
  • HookLengths
  • IndexedMultiply
  • InitializeTensorNetwork
  • MetricTensor
  • MetricTensorQ
  • MPSCanonicalForm
  • MPSCanonicalQ
  • MPSEntanglementEntropy
  • MPSNormalize
  • MPSNorm
  • MPSOverlap
  • MPSSchmidtValues
  • MPSTruncate
  • OptimalContractionPath
  • PartitionQ
  • PathIndexContractions
  • PathQ
  • PathToTreePath
  • RandomTensorNetwork
  • SchurDimension
  • SparseTensorNetwork
  • TableauColumns
  • TableauDimension
  • TableauRows
  • TableauShape
  • TableauSize
  • TableauWeylDimension
  • TensorNetworkAdd
  • TensorNetworkContraction
  • TensorNetworkContractions
  • TensorNetworkContract
  • TensorNetworkData
  • TensorNetworkDelete
  • TensorNetworkFreeIndices
  • TensorNetworkGraphData
  • TensorNetworkGraphQ
  • TensorNetworkIndexDimensions
  • TensorNetworkIndexGraph
  • TensorNetworkIndices
  • TensorNetwork
  • TensorNetworkQ
  • TensorNetworkRemoveCycles
  • TensorNetworkReplaceIndices
  • TensorNetworkSize
  • TensorNetworkTensors
  • TensorNetworkToNetGraph
  • ToTensorNetworkGraph
  • TransposePartition
  • TreePathQ
  • TreePathToPath
  • YoungProject
  • YoungSymmetrize
  • YoungTableau
  • YoungTableauQ
Wolfram`TensorNetworks`
ContractionTree
​
ContractionTree
[expr]
returns a
Tree
visualizing the contraction hierarchy of the inactive contraction expression
expr
.
​
​
ContractionTree
[expr,opts]
applies the option settings
opts
(any
Tree
option plus the
"Labels"
option).
​
Details and Options
​
Examples  
(13)
Basic Examples  
(1)
Build a small random tensor network:
In[1]:=
tn=
RandomTensorNetwork
[StarGraph[7]]
Out[1]=
TensorNetwork
Tensors: 7
Binary: Yes
Free indices: 4
Sparse: No
Output dimension: 16
​

​
Visualize its greedy contraction order as a Tree (symbolic-operation labels, the default):
In[1]:=
tn=
RandomTensorNetwork
[StarGraph[7]];​​
ContractionTree

TensorNetworkContraction

SparseTensorNetwork
[tn],
GreedyContractionPath
[tn]
Out[1]=
​
Switch to the dimension-labeled mode with
"Labels"->"Dimensions"
:
In[1]:=
tn=
RandomTensorNetwork
[StarGraph[7]];​​
ContractionTree

TensorNetworkContraction

SparseTensorNetwork
[tn],
GreedyContractionPath
[tn],"Labels""Dimensions"
Out[1]=
Basic Examples
Scope  
(3)
Label modes  
(1)

Different paths  
(1)

Different engines  
(1)

Options  
(1)

Applications  
(1)

Properties & Relations  
(1)

Scope  
(3)

Options  
(1)

Applications  
(1)

Properties & Relations  
(1)

SeeAlso
TensorNetworkContraction
 
▪
TensorNetworkContract
 
▪
ActivateTensors
 
▪
OptimalContractionPath
 
▪
GreedyContractionPath
 
▪
Tree
 
▪
TreeLayout
 
▪
Inactive
TechNotes
▪
Contraction Paths and Execution
RelatedGuides
▪
TensorNetworks
""

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