Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`QuantumFramework`
QuantumMeasurement  |
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Details and Options
Examples
(5)
Basic Examples
(1)
In[132]:=
st=
["RandomPure"];result=
["Z"][st]
 | QuantumState |
| QuantumMeasurementOperator |
Out[133]=
QuantumMeasurement
 |  |
|
There are many properties that can be extracted from a QuantumMeasurement object:
In[139]:=
result["Probabilities"]
Out[139]=
|〉0.592819,|〉0.407181
+
−
Use property to obtain the resulting measurement outcome's distribution:
"Distribution"
In[135]:=
result["Distribution"]
Out[135]=
CategoricalDistribution
|
|
Use property to obtain the possible states after measurement:
"States"
In[140]:=
TraditionalForm@result["States"]
Out[140]//TraditionalForm=
{,}
(-0.769923-0.00617715)|〉
+
(-0.318654+0.552848)|〉
−
Use property to obtain the association of measurement outcomes with their corresponding quantum state:
"StatesAssociation"
In[141]:=
TraditionalForm@result["StatesAssociation"]
Out[141]//TraditionalForm=
|〉,|〉
+
(-0.769923-0.00617715)|〉
+
−
(-0.318654+0.552848)|〉
−
Use property to obtain Lüders mixture. It resemble a scenario where a measurement is executed, yet the outcome of that measurement becomes untraceable or is no longer retained.
"PostMeasurementState"
In[142]:=
TraditionalForm@result["PostMeasurementState"]
Out[142]//TraditionalForm=
(0.592819+0.)|〉〈|+(0.407181+0.)|〉〈|
+
+
−
−
Find mean-value:
In[143]:=
result["Mean"]
Out[143]=
0.407181
Note by default, the mean value related to outcomes 0 and 1. If different values, they should be assigned when defining QuantumMeasurementOperator
In[144]:=
results2=
["Z"{-1,1}][st]
| QuantumMeasurementOperator |
Out[144]=
QuantumMeasurement
| |
|
∑
j
outcomes
j
probability
j
In[148]:=
results2["Mean"]
Out[148]=
0.185638
Scope
(1)
Applications
(1)
Properties & Relations
(1)
Interactive Examples
(1)
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""