Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`
InitializeTensorNetwork  |
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Details and Options
Examples
(10)
Basic Examples
(1)
Build a small open chain whose left boundary is a placeholder stub at vertex 0:
In[1]:=
chain=Graph[{0,1,2},{DirectedEdge[0,1,{Superscript[0,1],Subscript[1,1]}],DirectedEdge[1,2,{Superscript[1,2],Subscript[2,1]}]},AnnotationRules{0{"Tensor"{0.,0.},"Index"{Superscript[0,1]},VertexLabels"Stub"},1{"Tensor"RandomReal[1,{2,3}],"Index"{Subscript[1,1],Superscript[1,2]},VertexLabels1},2{"Tensor"RandomReal[1,{3,4}],"Index"{Subscript[2,1],Superscript[2,2]},VertexLabels2}}];
Close the boundary by binding a length-2 vector to the stub:
In[2]:=
init=InitializeTensorNetwork[chain,{0.5,-0.3}];
The new boundary vertex 0 carries the supplied tensor verbatim:
In[3]:=
AnnotationValue[{init,0},"Tensor"]
Out[4]=
{0.5,-0.3}
Its default index list is {Superscript[0, 1], …, Superscript[0, r]}, where r is the rank of the boundary tensor:
In[5]:=
AnnotationValue[{init,0},"Index"]
Out[6]=
{}
1
0
The vertex carries the label "Initial", so it stands out in graph plots:
In[7]:=
AnnotationValue[{init,0},VertexLabels]
Out[8]=
Initial
The returned object is a valid tensor-network graph:
In[9]:=
TensorNetworkGraphQ[init]
Out[10]=
True
Scope
(4)
Applications
(2)
Properties & Relations
(3)
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