Wolfram/TensorNetworks | Paclet Repository

Wolfram`TensorNetworks`

TensorNetworkData

TensorNetworkData [tn]
	returns an Association containing the complete data of the tensor network tn : its tensors, dimensions, indices, vertices, bonds, contractions, and free indices.

Details and Options

Examples

(17)

Basic Examples

(1)

Get the complete data of a tensor network as an association:

In[1]:=

t1=RandomReal[1,{2,3}];t2=RandomReal[1,{3,4}];t3=RandomReal[1,{4,2}];t4=RandomReal[1,{2,2}];indices={{idx1,idx2},{idx2,idx3},{idx3,idx1}};tn=TensorNetwork[{t1,t2,t3},indices]

Out[1]=

TensorNetwork

Tensors: 3	Binary: Yes
Free indices: 0	Sparse: No
Output dimension: 1



In[2]:=

TensorNetworkData[tn]

Out[2]=

Tensors{{{0.612809,0.130458,0.260095},{0.657812,0.265318,0.462577}},{{0.253323,0.438937,0.839983,0.931607},{0.444777,0.100304,0.618537,0.835115},{0.748834,0.00609525,0.0887644,0.724669}},{{0.102168,0.77641},{0.570572,0.0947489},{0.957574,0.913492},{0.608683,0.925448}}},Dimensions{{2,3},{3,4},{4,2}},Hyperedges{{idx1,idx2},{idx2,idx3},{idx3,idx1}},Indices

idx1

idx2

,

idx2

idx3

,

idx3

idx1

,Vertices{1,2,3},Bonds

idx1

2,

idx2

3,

idx3

4,Contractions

idx1

,

idx2

,

idx2

,

idx3

,

idx3

,

idx1

,ContractionIndices{{idx1,idx2},{idx2,idx3},{idx3,idx1}},FreeIndices{}

Add a new tensor into the previous tensor network:

In[3]:=

TensorNetworkData[TensorNetworkAdd[tn,t4,{idx1,idx5}]]

Out[3]=

Tensors{{{0.612809,0.130458,0.260095},{0.657812,0.265318,0.462577}},{{0.253323,0.438937,0.839983,0.931607},{0.444777,0.100304,0.618537,0.835115},{0.748834,0.00609525,0.0887644,0.724669}},{{0.102168,0.77641},{0.570572,0.0947489},{0.957574,0.913492},{0.608683,0.925448}},{{0.249091,0.606372},{0.263592,0.657744}}},Dimensions{{2,3},{3,4},{4,2},{2,2}},Hyperedges{{idx1,idx2},{idx2,idx3},{idx3,idx1},{idx1,idx5}},Indices

idx1

idx2

,

idx2

idx3

,

idx3

idx1

,

idx1

idx5