Computer Science
Mathematics
Physics
Quantum Computation

Quantum Circuit Diagrams and Graphs

Visualize quantum circuits with custom labels and layout

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Install and load the QuantumFramework paclet:

In[1]:=

PacletInstall["Wolfram/QuantumFramework"]Needs["Wolfram`QuantumFramework`"]

Show the diagram of a quantum circuit:

In[2]:=

QuantumCircuitOperator[{"X","CNOT","T"2,"S","Fourier",{1},{2}}]["Diagram"]

Out[2]=

Visualize the corresponding topology of a circuit:

In[3]:=

QuantumCircuitOperator[{"X","CNOT","T"2,"S","Fourier",{1},{2}}]["Topology",EdgeLabelsAutomatic]

Out[3]=

Show the diagram of a quantum phase estimation circuit:

In[4]:=

QuantumCircuitOperator[{"PhaseEstimation",QuantumOperator["S"],3}]["Diagram"]

Out[4]=

Show the diagram of the Magic circuit:

In[5]:=

QuantumCircuitOperator["Magic"]["Diagram"]

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Circuit diagram features can be customized. For more details, please refer to the Diagram documentation.

Show the tensor network of the magic circuit:

In[6]:=

QuantumCircuitOperator["Magic"]["TensorNetwork",EdgeLabelsAutomatic,GraphLayout{"LayeredDigraphEmbedding","Orientation"Left}]

Out[6]=

This TensorNetwork representation also uses indices as graph vertices with tensors as cliques:

In[7]:=

TensorNetworkIndexGraph[QuantumCircuitOperator["Magic"]["TensorNetwork"],EdgeLabelsAutomatic,GraphLayout{"LayeredDigraphEmbedding","Orientation"Left}]

Out[7]=

Generate the corresponding multiway graph of a circuit:

In[8]:=

g=QuantumCircuitMultiwayGraph[QuantumCircuitOperator["Magic"]]

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Add more info on the edges:

In[9]:=

Graphg,EdgeLabels_

KeyValuePattern["Operator"op_]



_Placed[Style[op["Label"],Bold],Center]

Out[9]=

Note that branching in the multiway graph implies the entanglement is created there.

External Links

Diagram (QuantumCircuitOperator property)
QuantumCircuitOperator

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Contributed by: Wolfram Research, Quantum Computation Framework Team

Wolfram Language Example Repository

Quantum Circuit Diagrams and Graphs

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See Also

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