|q⟩
Bad Qubits
Play
Quest
Questions
Learn
Playground
☕
← Question Bank
Multiple choice
With
x
=
(
a
+
a
†
)
/
2
x = (a + a^\dagger)/\sqrt{2}
x
=
(
a
+
a
†
)
/
2
for the harmonic oscillator (natural units), what is the expectation
⟨
1
∣
x
2
∣
1
⟩
\langle 1| x^2 |1\rangle
⟨
1∣
x
2
∣1
⟩
in the first excited state?
🔬 try it before you answer
1
1/2 = 0.5
3/2 = 1.5
3
/
2
\sqrt{3/2}
3/2
≈ 1.225
Check answer