Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`
TensorNetworkIndices  |
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Details and Options
Examples
(4)
Scope
(2)
A 3-site matrix product state
(1)
A structured network exposes the same per-tensor labeling:
In[1]:=
SeedRandom[42];mps=RandomTensorNetwork["MPS"[3,2,2]];
In[2]:=
TensorNetworkIndices[mps]
Out[2]=
{{,},{,,},{,}}
1
1
4
1
1
2
2
2
5
2
2
3
6
3
The two boundary tensors have rank 2 (one bond, one physical leg); the bulk tensor has rank 3 (two bonds, one physical leg). The slot label is shared by tensors 1 and 2, and label by tensors 2 and 3 -- these are the two MPS bonds. The labels appear only once and are the physical legs.
1
2
4,5,6
Graph form
(1)
Applications
(1)
Properties & Relations
(1)
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Get the per-tensor index specifications for a tensor network:
In[1]:=
tn=TensorNetwork[{RandomReal[{-1,1},{2,3}],RandomReal[{-1,1},{3,4}]},{{i,j},{j,k}}];
In[2]:=
TensorNetworkIndices[tn]
Out[2]=
,,,
i
1
j
1
j
2
k
2
Each inner list holds the slot labels of one tensor; every label carries the tensor's 1-based position as its tag. The shared hyperedge appears in both tensors as and ; the free indices and carry a single labeled occurrence.
j
j
1
j
2
i
k
The property syntax exposes the same value:
In[3]:=
tn["Indices"]
Out[3]=
,,,
i
1
j
1
j
2
k
2
""