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TensorNetworks

Guides

  • TensorNetworks

Tech Notes

  • Building Tensor Networks
  • Contraction Paths and Execution
  • Matrix Product States
  • 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
  • SparseTensorNetwork
  • TableauColumns
  • TableauDimension
  • TableauRows
  • TableauShape
  • TableauSize
  • 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`
TensorNetworkDelete
​
TensorNetworkDelete
[tn,k]
removes the
k
th tensor from the tensor network
tn
. •
​
​
TensorNetworkDelete
[tn]
removes the last tensor (default
k=-1
). •
​
​
TensorNetworkDelete
[graph,k]
operates on the annotated
graph
form, removing the
k
th vertex and its incident edges.
​
Details and Options
Examples  
(4)
Basic Examples  
(1)
Create a tensor network on three tensors arranged in a triangle:
In[1]:=
t1=RandomReal[1,{2,3}];​​t2=RandomReal[1,{3,4}];​​t3=RandomReal[1,{4,2}];​​t4=RandomReal[1,{2,2}];​​{i,j,k,l,m,n,p,q}=Table[Symbol["idx"<>ToString[x]],{x,8}];​​indices={{i,j},{j,k},{k,i}};​​tn=TensorNetwork[{t1,t2,t3},indices];
Remove the last tensor (default):
In[2]:=
TensorNetworkDelete[tn]
Out[2]=
TensorNetwork
Tensors: 2
Binary: Yes
Free indices: 2
Sparse: No
Output dimension: 8
​

Negative indices are explicit:
In[3]:=
TensorNetworkDelete[tn,-1]
Out[3]=
TensorNetwork
Tensors: 2
Binary: Yes
Free indices: 2
Sparse: No
Output dimension: 8
​

Remove the first tensor:
In[4]:=
TensorNetworkDelete[tn,1]
Out[4]=
TensorNetwork
Tensors: 2
Binary: Yes
Free indices: 2
Sparse: No
Output dimension: 6
​

Remove the middle tensor; the dangling indices become free:
In[5]:=
TensorNetworkDelete[tn,2]
Out[5]=
TensorNetwork
Tensors: 2
Binary: Yes
Free indices: 2
Sparse: No
Output dimension: 12
​

Round-trip with TensorNetworkAdd: add a fourth tensor, then delete it to recover the original:
In[6]:=
TensorNetworkDelete[TensorNetworkAdd[tn,t4,{m,n}],4]
Out[6]=
TensorNetwork
Tensors: 3
Binary: Yes
Free indices: 0
Sparse: No
Output dimension: 1
​

Integer indices work the same way:
In[7]:=
TensorNetworkDelete[TensorNetwork[{t1,t2,t3},{{1,2},{2,3},{3,1}}],2]
Out[7]=
TensorNetwork
Tensors: 2
Binary: Yes
Free indices: 2
Sparse: No
Output dimension: 12
​

Scope  
(1)

Applications  
(1)

Properties & Relations  
(1)

SeeAlso
TensorNetworkAdd
 
▪
TensorNetwork
 
▪
TensorNetworkReplaceIndices
 
▪
ToTensorNetworkGraph
 
▪
Delete
 
▪
VertexDelete
TechNotes
▪
Building Tensor Networks
RelatedGuides
▪
TensorNetworks
""

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