Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
QuantumMob`Q3mini`
QuantumCircuit  |
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Details and Options
Examples
(14)
Basic Examples
(3)
In[1]:=
Let[Qubit,S]
Here is a typical example.
In[2]:=
qc=QuantumCircuit[S[1,6],CNOT[S[1],S[2]],S[{2,3},3]]
Out[2]=
You can always convert the quantum circuit model into the corresponding operator expression in terms of the Pauli operators.
In[3]:=
op=Elaborate[qc]
Out[3]=
-+++++++
Y
S
2
Z
S
3
2
2
Z
S
2
Z
S
3
2
2
X
S
1
Y
S
2
Z
S
3
2
2
X
S
1
Z
S
2
Z
S
3
2
2
Y
S
1
Y
S
2
Z
S
3
2
2
Y
S
1
Z
S
2
Z
S
3
2
2
Z
S
1
Y
S
2
Z
S
3
2
2
Z
S
1
Z
S
2
Z
S
3
2
2
In[4]:=
op=ExpressionFor[qc]
Out[4]=
-+++++++
Y
S
2
Z
S
3
2
2
Z
S
2
Z
S
3
2
2
X
S
1
Y
S
2
Z
S
3
2
2
X
S
1
Z
S
2
Z
S
3
2
2
Y
S
1
Y
S
2
Z
S
3
2
2
Y
S
1
Z
S
2
Z
S
3
2
2
Z
S
1
Y
S
2
Z
S
3
2
2
Z
S
1
Z
S
2
Z
S
3
2
2
Then, you can operate the expression further on, say, a state vector.
In[5]:=
out=op**Ket[]
Out[5]=
0
S
1
0
S
2
2
1
S
1
1
S
2
2
You can directly apply the quantum circuit model on state vectors or other operators as well.
In[6]:=
new=qc**Ket[]
Out[6]=
0
S
1
0
S
2
2
1
S
1
1
S
2
2
In[7]:=
out-new//Garner
Out[7]=
0
In many cases, the quantum circuit model is automatically converted to an operator expression.
In[1]:=
(2qc-1)**Ket[]
Out[1]=
(-1+-
2
)0
S
1
0
S
2
2
1
S
1
1
S
2
In[2]:=
(2op-1)**Ket[]
Out[2]=
(-1+-
2
)0
S
1
0
S
2
2
1
S
1
1
S
2
You can also covert the quantum circuit model into a matrix representation in the standard basis.
In[3]:=
mat=Matrix@qc;mat//MatrixForm
Out[3]//MatrixForm=
1 2 | 0 | 0 | 0 | 1 2 | 0 | 0 | 0 |
0 | - 1 2 | 0 | 0 | 0 | - 1 2 | 0 | 0 |
0 | 0 | - 1 2 | 0 | 0 | 0 | - 1 2 | 0 |
0 | 0 | 0 | 1 2 | 0 | 0 | 0 | 1 2 |
0 | 0 | 1 2 | 0 | 0 | 0 | - 1 2 | 0 |
0 | 0 | 0 | - 1 2 | 0 | 0 | 0 | 1 2 |
- 1 2 | 0 | 0 | 0 | 1 2 | 0 | 0 | 0 |
0 | 1 2 | 0 | 0 | 0 | - 1 2 | 0 | 0 |
In[1]:=
qc=QuantumCircuit[Ket[S@{1,2,3}],S[1,6],CNOT[S[1],S[2]],S[{2,3},3]]
Out[1]=
In[2]:=
out=Elaborate[qc]
Out[2]=
0
S
1
0
S
2
0
S
3
2
1
S
1
1
S
2
0
S
3
2
Scope
(8)
Options
(3)
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