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QuantumFramework

Tutorials

  • Getting Started

Guides

  • Wolfram Quantum Computation Framework

Tech Notes

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

Symbols

  • QuantumBasis
  • QuantumChannel
  • QuantumCircuitMultiwayGraph [EXPERIMENTAL]
  • QuantumCircuitOperator
  • QuantumDistance
  • QuantumEntangledQ
  • QuantumEntanglementMonotone
  • QuantumEvolve
  • QuantumMeasurement
  • QuantumMeasurementOperator
  • QuantumMeasurementSimulation
  • QuantumMPS [EXPERIMENTAL]
  • QuantumOperator
  • QuantumPartialTrace
  • QuantumPhaseSpaceTransform
  • QuantumShortcut [EXPERIMENTAL]
  • QuantumStateEstimate [EXPERIMENTAL]
  • QuantumState
  • QuantumTensorProduct
  • QuantumWignerMICTransform [EXPERIMENTAL]
  • QuantumWignerTransform [EXPERIMENTAL]
  • QuditBasis
  • QuditName
Wolfram`QuantumFramework`
QuantumPhaseSpaceTransform
​
QuantumPhaseSpaceTransform[object,basis]
represents the transformation of quantum object into the phase space basis
​
Examples  
(2)
Basic Examples  
(2)
Create a random mixed state:
In[1]:=
ρ=
QuantumState
["RandomMixed"]
Out[1]=
QuantumState
Mixed state
Qudits: 1
Type: Matrix
Dimension: 2

Transform into Tetrahedron basis and return amplitudes
In[2]:=
QuantumPhaseSpaceTransform
[ρ,"Tetrahedron"]["Amplitudes"]
Out[2]=
|

1
〉0.161907,|

2
〉0.239609,|

3
〉0.15534,|

4
〉0.443143
Show probabilities from TetrahedronSICPOVM measurement:
In[3]:=
QuantumMeasurementOperator
["TetrahedronSICPOVM"][ρ]["Probabilities"]
Out[3]=
|

1
〉0.161907,|

2
〉0.239609,|

3
〉0.15534,|

4
〉0.443143
Check they are the same
In[4]:=
%%%
Out[4]=
True
​
Transform a quantum circuit:
In[1]:=
QuantumPhaseSpaceTransform

QuantumCircuitOperator
["CHSH"]["Diagram","ShowWireDimensions"True]
Out[1]=
SeeAlso
"XXXX"
""

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