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QuantumFramework

Tutorials

  • Getting Started

Guides

  • Wolfram Quantum Computation Framework

Tech Notes

  • Bell's Theorem
  • Circuit Diagram
  • Exploring Fundamentals of Quantum Theory
  • Quantum object abstraction
  • Tensor Network

Symbols

  • QuantumBasis
  • QuantumChannel
  • QuantumCircuitMultiwayGraph [EXPERIMENTAL]
  • QuantumCircuitOperator
  • QuantumDistance
  • QuantumEntangledQ
  • QuantumEntanglementMonotone
  • QuantumEvolve
  • QuantumMeasurement
  • QuantumMeasurementOperator
  • QuantumMeasurementSimulation
  • QuantumMPS [EXPERIMENTAL]
  • QuantumOperator
  • QuantumPartialTrace
  • QuantumShortcut [EXPERIMENTAL]
  • QuantumStateEstimate [EXPERIMENTAL]
  • QuantumState
  • QuantumTensorProduct
  • QuantumWignerMICTransform [EXPERIMENTAL]
  • QuantumWignerTransform [EXPERIMENTAL]
  • QuditBasis
  • QuditName
Wolfram`QuantumFramework`
QuantumCircuitOperator
​
QuantumCircuitOperator[{
obj
1
,
obj
2
,
obj
3
,...}]
represents a quantum circuit with a list of quantum objects
obj
i
, e.g., quantum operator, quantum channel, quantum state or quantum measurement operators.
​
Details and Options

Examples  
(29)
Basic Examples  
(4)
Create a quantum circuit composed of only single qubit gates:
In[71]:=
qc=
QuantumCircuitOperator

QuantumOperator
["X"],
QuantumOperator
["Y",{2}];
Draw the associated circuit diagram:
In[72]:=
qc["Diagram"]
Out[72]=
Note the above circuit has a shorthand representation, too:
In[73]:=
QuantumCircuitOperator
["XY"]["Diagram"]
Out[73]=
Another shorter version of input, to create above circuit:
In[74]:=
QuantumShortcut@qc
Out[74]=
{X{1},Y{2}}
​
Create a circuit with multi-qubit gates:
In[1]:=
qc=
QuantumCircuitOperator

QuantumOperator
["CNOT"],
QuantumOperator
["H"{1,2}];
Associated circuit diagram:
In[2]:=
qc["Diagram"]
Out[2]=
The above circuit has a shorthand representation, too:
In[3]:=
QuantumCircuitOperator
[{"CNOT","H"{1,2}}]qc
Out[3]=
True
The dashed line between two Hadamards imply that they are defined as tensor product, although they are separable. Compared it with this case:
In[4]:=
QuantumCircuitOperator
[{"CNOT","H","H"{2}}]["Diagram"]
Out[4]=
​
A quantum state is transformed by a quantum circuit
In[1]:=
QuantumCircuitOperator
[{"CNOT","H","S"{2}}]
QuantumState
["01"]
Out[1]=
QuantumState
Pure state
Qudits: 2
Type: Vector
Dimension: 4
Picture: Schrödinger
​

If no input is given, the initial state is set as the corresponding register state
In[2]:=
QuantumCircuitOperator
[{"CNOT","H","S"{2}}][]
Out[2]=
QuantumState
Pure state
Qudits: 2
Type: Vector
Dimension: 4
Picture: Schrödinger
​

​
Quantum circuit can include many quantum objects:
In[1]:=
qc=
QuantumCircuitOperator

QuantumState
["Bell","Label""Bell"],"XY",{"C","RY"[π/4]},"BitFlip"[.3],"H"2,{1},{2};​​qc["Diagram"]
Out[1]=
In[2]:=
qc[]["ProbabilityPlot"]
Out[2]=
Scope  
(16)

Generalizations & Extensions  
(4)

Applications  
(5)

SeeAlso
QuantumState
 
▪
QuantumOperator
 
▪
QuantumMeasurementOperator
RelatedGuides
▪
Wolfram Quantum Computation Framework
""

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