|q⟩
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Multiple choice
The number operator is
N
=
a
†
a
N = a^\dagger a
N
=
a
†
a
, with
N
∣
n
⟩
=
n
∣
n
⟩
N|n\rangle = n|n\rangle
N
∣
n
⟩
=
n
∣
n
⟩
. Summing its diagonal entries over the first three levels, what is
⟨
0
∣
N
∣
0
⟩
+
⟨
1
∣
N
∣
1
⟩
+
⟨
2
∣
N
∣
2
⟩
\langle 0|N|0\rangle + \langle 1|N|1\rangle + \langle 2|N|2\rangle
⟨
0∣
N
∣0
⟩
+
⟨
1∣
N
∣1
⟩
+
⟨
2∣
N
∣2
⟩
?
🔬 try it before you answer
2
6
0
3
Check answer