Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
QuantumMob`Q3mini`
Qubit  |
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Details and Options
Examples
(10)
Basic Examples
(7)
Declare S as the symbol to refer to a quantum register of qubits.
In[1]:=
Let[Qubit,S]
This is how you can manually specify the logical basis states.
In[2]:=
vec=Ket[S[1]1,S[2]1]
Out[2]=
1
S
1
1
S
2
In[3]:=
vec//InputForm
Out[3]//InputForm=
Ket[<|S[1, $] -> 1, S[2, $] -> 1|>]
Here are short lists of the Pauli operators acting on qubit S[1,$].
In[4]:=
S[1,All]
Out[4]=
,,
X
S
1
Y
S
1
Z
S
1
In[5]:=
S[1,Full]
Out[5]=
,,,
0
S
1
X
S
1
Y
S
1
Z
S
1
Here is a more complete list of elementary quantum operators acting on qubit S[1,$].
In[6]:=
S[1,0](*Identityoperator*)S[1,1](*PauliXoperator*)S[1,2](*PauliYoperator*)S[1,3](*PauliZoperator*)S[1,4](*Pauliraisingoperator*)S[1,5](*Pauliloweringoperator*)S[1,6](*Hadamardgate*)S[1,7](*Quadrant(2π/4)phasegate*)S[1,8](*Octant(2π/8)phasegate*)S[1,9](*Hexadecant(2π/16)phasegate*)S[1,10](*ProjectionintoKet[0]*)S[1,11](*ProjectionintoKet[1]*)
Out[6]=
X
S
1
Out[6]=
Y
S
1
Out[6]=
Z
S
1
Out[6]=
+
S
1
Out[6]=
-
S
1
Out[6]=
H
S
1
Out[6]=
S
S
1
Out[6]=
T
S
1
Out[6]=
F
S
1
Out[6]=
(|0〉〈0|)
S
1
Out[6]=
(|1〉〈1|)
S
1
In[7]:=
QuantumCircuit[S[0],S[1],S[2],S[3]]
Out[7]=
In[8]:=
QuantumCircuit[S[6],S[7],S[8],S[9]]
Out[8]=
In[9]:=
QuantumCircuit[Dagger@S[7],Dagger@S[8],Dagger@S[9]]
Out[9]=
S[1,-n]
S[1,n]
In[1]:=
S[1,-1](*EquivalenttoS[1,1]*)S[1,-2](*EquivalenttoS[1,2]*)S[1,-3](*EquivalenttoS[1,3]*)S[1,-4](*EquivalenttoS[1,5]*)S[1,-5](*EquivalenttoS[1,4]*)S[1,-6]S[1,-7]S[1,-8]S[1,-9]
Out[1]=
X
S
1
Out[1]=
Y
S
1
Out[1]=
Z
S
1
Out[1]=
-
S
1
Out[1]=
+
S
1
Out[1]=
H
S
1
Out[1]=
†
S
S
1
Out[1]=
†
T
S
1
Out[1]=
†
F
S
1
In[2]:=
S[1,C[1]](*Z,thePauliZ*)S[1,C[2]](*
Z
,thequadrant*)S[1,C[3]](*4
Z
,theoctant*)S[1,C[4]](*5
Z
,thehexadecant*)S[1,C[5]]S[1,C[6]]Out[2]=
Z
S
1
Out[2]=
S
S
1
Out[2]=
T
S
1
Out[2]=
F
S
1
Out[2]=
2π
5
2
S
1
Out[2]=
2π
6
2
S
1
In[3]:=
QuantumCircuit[S[1,C[5]],S[1,C[6]],S[1,C[7]]]
Out[3]=
In[4]:=
Dagger@S[1,C[1]](*Z,thePauliZ*)Dagger@S[1,C[2]](*
Z
,thequadrant*)Dagger@S[1,C[3]](*4
Z
,theoctant*)Dagger@S[1,C[4]](*5
Z
,thehexadecant*)Dagger@S[1,C[5]]Dagger@S[1,C[6]]Out[4]=
Z
S
1
You can get a list of elementary operators on a particular qubit S[1,$] by putting a list in the final flavor index.
You can get a list of operators of same type acting on different qubits by putting a list in the first flavor index.
Out[1]//TeXForm=
S_1^{ ext{Z}}
Out[2]//TeXForm=
S_1^{
rac{2 \pi }{2^5}}
rac{2 \pi }{2^5}}
Out[3]//TeXForm=
S_1^{-
rac{2 \pi }{2^5}}
rac{2 \pi }{2^5}}
Out[5]//TeXForm=
S_4^+