Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`
BinaryTensorNetwork  |
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Details and Options
Examples
(9)
Basic Examples
(2)
Build a three-tensor network in which the index i2 is shared by all three tensors, so the network is not binary:
In[1]:=
tensors=RandomReal[{-1,1},{3,2,2,2}];
In[2]:=
tn=TensorNetwork[tensors,{{i1,i2,i3},{i2,i4,i5},{i2,i3,i6}}]
Out[2]=
TensorNetwork
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Test if it is a binary (pairwise) tensor network:
In[3]:=
tn["BinaryQ"]
Out[3]=
False
It is clear from the hypergraph that the index i2 is shared by 3 tensors:
In[4]:=
Quiet[tn["Hypergraph"],ResourceObject::updavb]
Out[4]=
Convert to a binary tensor network. The returned object is itself a object whose summary box reports Binary: Yes:
In[5]:=
bin=BinaryTensorNetwork[tn]
Out[5]=
TensorNetwork
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After binarization the new network reports the binary property as True and has size larger than the original (one extra spider per hyperedge):
In[6]:=
bin["BinaryQ"]
Out[6]=
True
In[7]:=
TensorNetworkSize[tn]
Out[7]=
3
In[8]:=
TensorNetworkSize[bin]
Out[8]=
4
Every standard tensor-network topology (MPS, PEPS, TTN, MERA, MPO) produced by RandomTensorNetwork is already binary. Start from an MPS of length 4:
In[1]:=
mps=BlockRandom[SeedRandom[1];RandomTensorNetwork["MPS"[4,2,2]]]
Out[1]=
TensorNetwork
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In[2]:=
BinaryTensorNetworkQ[mps]
Out[2]=
True
In[3]:=
BinaryTensorNetwork[mps]
Out[3]=
TensorNetwork
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Identity is structural, not just numerical:
In[4]:=
BinaryTensorNetwork[mps]===mps
Out[4]=
True
Scope
(3)
Applications
(2)
Properties & Relations
(2)
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""