Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`QuantumFramework`
QuantumPhaseSpaceTransform  |
|
| | ||||
Details and Options
Examples
(5)
Basic Examples
(3)
Create a random mixed state:
In[1]:=
SeedRandom[0];ρ=
["RandomMixed"]
 | QuantumState |
Out[1]=
QuantumState
 |  |
|
Transform into Tetrahedron basis and return amplitudes
In[2]:=
| QuantumPhaseSpaceTransform |
Out[2]=
|〉0.392528,|〉0.300255,|〉0.114132,|〉0.193084
1
2
3
4
Show probabilities from TetrahedronSICPOVM measurement:
In[3]:=
 | QuantumMeasurementOperator |
Out[3]=
|〉0.392528,|〉0.300255,|〉0.114132,|〉0.193084
1
2
3
4
Check they are the same
In[4]:=
%%%
Out[4]=
True
Transform a quantum circuit:
In[1]:=
| QuantumPhaseSpaceTransform |
| QuantumCircuitOperator |
Out[1]=
Pay attention to the dimension of wire (which are doubled, compared to the conventional Hilbert space representation).
Generate a random mixed state:
In[1]:=
SeedRandom[0];ρ=
["RandomMixed"]
| QuantumState |
Out[1]=
QuantumState
| |
|
Show Hadamard operator in the QBismSIC basis:
In[2]:=
| QuantumPhaseSpaceTransform |
 | QuantumOperator |
Out[2]//TableForm=
〈 1 | 〈 2 | 〈 3 | 〈 4 | |
| 1 | 0.5 | 0.5 | 0.5 | -0.5 |
| 2 | 0.5 | -0.5 | 0.5 | 0.5 |
| 3 | 0.5 | 0.5 | -0.5 | 0.5 |
| 4 | -0.5 | 0.5 | 0.5 | 0.5 |
Show the state (vectorized) in the QBismSIC basis:
In[3]:=
| QuantumPhaseSpaceTransform |
Out[3]=
{0.392333,0.272244,0.0961469,0.239276}
Check that the transformation in the phase space returns the same stat as the one in the Hilbert space:
In[4]:=
QuantumWeylTransform@
["H"],"QBismSIC"@
[ρ,"QBismSIC"]
["H"][ρ]
| QuantumPhaseSpaceTransform |
 | QuantumOperator |
| QuantumPhaseSpaceTransform |
| QuantumOperator |
Out[4]=
True
Scope
(2)
 |
|
""