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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`
ToTensorNetworkGraph
​
ToTensorNetworkGraph
[tn]
converts the tensor network
tn
into an annotated, directed-acyclic
Graph
. •
​
​
ToTensorNetworkGraph
[g]
builds a tensor-network graph from the graph
g
, first making it directed and acyclic if necessary. •
​
​
ToTensorNetworkGraph
[tensors,hyperedges]
constructs a tensor-network graph directly from a list of
tensors
and an associated list of
hyperedges
(per-tensor index lists), inserting spider tensors for any index shared by three or more tensors.
​
Details and Options
​
Examples  
(9)
Basic Examples  
(1)
Convert a small tensor network to a graph:
In[1]:=
tn=
TensorNetwork
[{RandomReal[{-1,1},{2,3}],RandomReal[{-1,1},{3,4}]},{{i,j},{j,k}}];
In[2]:=
ToTensorNetworkGraph
[tn]
Create a tensor network with one index shared by three tensors:
In[3]:=
tnH=
TensorNetwork
[{RandomReal[{-1,1},{2,2}],RandomReal[{-1,1},{2,2}],RandomReal[{-1,1},{2,2}]},{{a,b},{b,c},{b,d}}];
Convert it to a graph; a spider vertex is inserted for the hyperedge:
In[4]:=
g=
ToTensorNetworkGraph
[tnH]
The spider vertex carries a SymbolicDeltaProductArray:
In[5]:=
AnnotationValue[{g,4},"Tensor"]
Build a tensor-network graph from a directed graph, filling in random tensors:
In[6]:=
ToTensorNetworkGraph
[Graph[{12,23,34}],Method"Random"]
Basic Examples
Scope  
(1)
From a tensor network  
(1)

Options  
(1)

Applications  
(1)

Properties & Relations  
(1)

Scope  
(1)

Options  
(1)

Applications  
(1)

Properties & Relations  
(1)

SeeAlso
TensorNetwork
 
▪
TensorNetworkGraphQ
 
▪
TensorNetworkGraphData
 
▪
TensorNetworkRemoveCycles
 
▪
TensorNetworkIndexGraph
 
▪
BinaryTensorNetwork
 
▪
Graph
 
▪
DirectedGraph
 
▪
AnnotationValue
TechNotes
▪
Building Tensor Networks
RelatedGuides
▪
TensorNetworks
""

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