In[]:=
PacletInstall["Wolfram/QuantumFramework"]​​Needs["Wolfram`QuantumFramework`"]
Out[]=
PacletObject
Name: Wolfram/QuantumFramework
Version: 1.3.6

Simple Not:
In[]:=
ops={QuantumOperator["NOT",{1}],QuantumMeasurementOperator["ComputationalBasis",{1}]};
In[]:=
circuit=QuantumCircuitOperator[ops]
Out[]=
QuantumCircuitOperator
​

In[]:=
circuit["Diagram"]
Out[]=
In[]:=
circuit["Matrix"]//MatrixForm
Out[]//MatrixForm=
0
1
0
0
0
0
1
0
In[]:=
QuantumOperator["NOT",{1}]["Matrix"]//MatrixForm
Out[]//MatrixForm=

0
1
1
0

The input state is
|ψ〉=α|0〉+β|1〉
, where
α
and
β
are unknown amplitudes.
In[]:=
ψ0=QuantumState[{α,β}]
Out[]=
QuantumState
Pure state
Qudits: 1
Type: Vector
Dimension: 2
Picture: Schrödinger
​

In[]:=
QuantumState[ψ0]["Amplitudes"]
Out[]=
|0〉α,|1〉β
Let’s look at post-measurement states
In[]:=
circuit[ψ0]["StateAmplitudes"]
Out[]=
|0〉|0〉β,|1〉0,|1〉|0〉0,|1〉α