Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
QuantumMob`Q3mini`
SWAP  |
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Details and Options
Examples
(5)
Basic Examples
(2)
In[1]:=
Let[Qubit,S]
In[2]:=
op=SWAP[S[1],S[2]]
Out[2]=
SWAP[,]
S
1
S
2
In[3]:=
Elaborate[op]
Out[3]=
1
2
1
2
X
S
1
X
S
2
1
2
Y
S
1
Y
S
2
1
2
Z
S
1
Z
S
2
The SWAP gate exchanges the states of the two qubits.
In[4]:=
in=Basis[S@{1,2,3}];out=op**in;Thread[inout]//TableForm
Out[4]//TableForm=
0 S 1 0 S 2 0 S 3 0 S 1 0 S 2 0 S 3 |
0 S 1 0 S 2 1 S 3 0 S 1 0 S 2 1 S 3 |
0 S 1 1 S 2 0 S 3 1 S 1 0 S 2 0 S 3 |
0 S 1 1 S 2 1 S 3 1 S 1 0 S 2 1 S 3 |
1 S 1 0 S 2 0 S 3 0 S 1 1 S 2 0 S 3 |
1 S 1 0 S 2 1 S 3 0 S 1 1 S 2 1 S 3 |
1 S 1 1 S 2 0 S 3 1 S 1 1 S 2 0 S 3 |
1 S 1 1 S 2 1 S 3 1 S 1 1 S 2 1 S 3 |
This is the matrix representation of the SWAP gate in the logical basis.
In[5]:=
Matrix[op]//MatrixForm
Out[5]//MatrixForm=
1 | 0 | 0 | 0 |
0 | 0 | 1 | 0 |
0 | 1 | 0 | 0 |
0 | 0 | 0 | 1 |
In the quantum circuit model, the SWAP gate is represented as follows.
In[6]:=
qc=QuantumCircuit[SWAP[S[1],S[2]]]
Out[6]=
The SWAP gate can be implemented by means of the CNOT gate.
In[1]:=
new=QuantumCircuit[CNOT[S[1],S[2]],CNOT[S[2],S[1]],CNOT[S[1],S[2]]]
Out[1]=
In[2]:=
more=QuantumCircuit[CNOT[S[2],S[1]],CNOT[S[1],S[2]],CNOT[S[2],S[1]]]
Out[2]=
In[3]:=
Elaborate[qc-new]Elaborate[qc-more]
Out[3]=
0
Out[3]=
0
Scope
(1)
Properties & Relations
(2)
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