Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`
TensorNetworkContractions  |
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Details and Options
Examples
(4)
Scope
(2)
A 3-tensor chain
(1)
Build a chain of three tensors sharing pairwise indices 2 and 3:
In[1]:=
tn=TensorNetwork[{RandomReal[{-1,1},{2,2}],RandomReal[{-1,1},{2,2}],RandomReal[{-1,1},{2,2}]},{{1,2},{2,3},{3,4}}]
In[2]:=
TensorNetworkContractions[tn]
Out[2]=
{{,{,}},{{,},{,}},{{,},}}
1
1
2
1
2
2
2
1
2
2
3
2
3
3
3
2
3
3
4
3
A matrix product state
(1)
Applications
(1)
Properties & Relations
(1)
 |
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 |
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Get the list of index contractions in a tensor network:
In[1]:=
tn=TensorNetwork[{RandomReal[{-1,1},{2,3}],RandomReal[{-1,1},{3,4}]},{{i,j},{j,k}}]
In[2]:=
TensorNetworkContractions[tn]
Out[2]=
,,,,,
i
1
j
1
j
2
j
1
j
2
k
2
The shared index has been replaced everywhere it appears by the list of its two per-tensor labels, while the free indices and keep a single labeled occurrence and .
j
{,}
j
1
j
2
i
k
i
1
k
2
The same contraction structure is exposed under property syntax:
In[3]:=
tn["Contractions"]
Out[3]=
,,,,,
i
1
j
1
j
2
j
1
j
2
k
2
""