Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`
TensorNetworkContraction  |
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By default returns an expression tree () that you can inspect, transform, or pass to .
"Inactive"True
▪
Setting evaluates the tree and returns the numerical tensor; this is the path takes.
"Inactive"False
▪
ActivateTensors
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The option selects one of five binary-contraction engines: "ArrayDot" (default), "ArrayDotTranspose", "Dot", "TensorContract", and "TableSum". All engines produce numerically identical results after activation; they differ only in the internal representation of the tree. The full list is in .
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For a single-tensor network (no contraction indices), returns the tensor directly via the fallback path.
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A is a list of integer pairs in opt_einsum convention; a is the tree-structured form produced by .
path
{{i,j},…}
treePath
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The following options can be given:
Examples
(17)
Basic Examples
(1)
Construct a small two-tensor network used in the examples below:
In[1]:=
tn=
[{{{0.5,-0.2,0.3},{0.1,0.8,-0.4}},{{0.6,0.4,-0.1,0.2},{-0.3,0.5,0.7,-0.2},{0.1,-0.4,0.3,0.5}}},{{i,j},{j,k}}]
 | TensorNetwork |
Out[1]=
TensorNetwork
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Return the default inactive contraction expression:
In[2]:=
 | TensorNetworkContraction |
Out[2]=
TensorContract[{{0.5,-0.2,0.3},{0.1,0.8,-0.4}}{{0.6,0.4,-0.1,0.2},{-0.3,0.5,0.7,-0.2},{0.1,-0.4,0.3,0.5}},{{2,3}}]
Evaluate the tree with ActivateTensors:
In[3]:=
| ActivateTensors |
| TensorNetworkContraction |
Out[3]=
{{0.39,-0.02,-0.1,0.29},{-0.22,0.6,0.43,-0.34}}
The option "Inactive" False evaluates the tree on the fly:
In[4]:=
| TensorNetworkContraction |
Out[4]=
{{0.39,-0.02,-0.1,0.29},{-0.22,0.6,0.43,-0.34}}
Scope
(9)
Options
(3)
Applications
(1)
Properties & Relations
(1)
Possible Issues
(2)
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""