Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`
MPSNormalize  |
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Details and Options
Examples
(6)
Scope
(3)
From an arbitrary MPS
(1)
Generate a small three-site MPS and inspect its norm:
In[1]:=
mpsSmall=BlockRandom[SeedRandom[7];RandomTensorNetwork["MPS"[3,2,2]]]
In[2]:=
MPSNorm[mpsSmall]
Out[2]=
1.45605
In[1]:=
mpsSmall=BlockRandom[SeedRandom[7];RandomTensorNetwork["MPS"[3,2,2]]];MPSNormalize[mpsSmall]
Out[1]=
TensorNetwork
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The norm of the rescaled object is 1:
In[1]:=
mpsSmall=BlockRandom[SeedRandom[7];RandomTensorNetwork["MPS"[3,2,2]]];MPSNorm[MPSNormalize[mpsSmall]]
Out[1]=
1.
Per-site rescale factor
(1)
Zero-norm MPS unchanged
(1)
Applications
(2)
Properties & Relations
(1)
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Build a six-site MPS with bond dimension 4 and physical dimension 2, then rescale it to unit norm. The result is a new TensorNetwork object with the same tensor shapes:
In[1]:=
mps=BlockRandom[SeedRandom[42];RandomTensorNetwork["MPS"[6,4,2]]]
In[2]:=
MPSNormalize[mps]
Out[2]=
TensorNetwork
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Rescale a smaller three-site MPS in the same way:
In[3]:=
mpsSmall=BlockRandom[SeedRandom[7];RandomTensorNetwork["MPS"[3,2,2]]]
In[4]:=
MPSNormalize[mpsSmall]
Out[4]=
TensorNetwork
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The output is an MPS regardless of the bond and physical dimensions of the input. Take an MPS with bond dimension 6 and physical dimension 3:
In[5]:=
mpsLarger=BlockRandom[SeedRandom[3];RandomTensorNetwork["MPS"[4,6,3]]]
In[6]:=
MPSNormalize[mpsLarger]
Out[6]=
TensorNetwork
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In[7]:=
mps=BlockRandom[SeedRandom[42];RandomTensorNetwork["MPS"[6,4,2]]];MPSNorm[MPSNormalize[mps]]
Out[7]=
1.
""