Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`
CanonicalPath  |
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The canonical form is the opt_einsum convention: a list of integer pairs where each step removes the tensors at positions , from the working list and appends their contraction at the end.
{{i,j},…}
i
j
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is implemented via — the path is converted to a tree path and back, normalizing in the process.
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is used internally by and to wrap the path-finder output in canonical form.
Examples
(9)
Basic Examples
(3)
Convert a contraction path with a singleton to canonical form:
In[1]:=
path={{1},{2,3},{1,2}}
In[2]:=
 | PathQ |
Out[2]=
True
In[3]:=
| CanonicalPath |
Out[3]=
{{3,1},{1,2}}
Normalize a path that retains a tensor before contracting; the canonical form just names the two tensors to combine:
In[1]:=
| CanonicalPath |
Out[1]=
{{2,1}}
Pass an explicit index list for the round-trip:
In[1]:=
| CanonicalPath |
Out[1]=
{{1,2}}
Scope
(4)
Applications
(1)
Properties & Relations
(1)
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