|q⟩
Bad Qubits
Play
Quest
Questions
Learn
Playground
☕
← Question Bank
Multiple choice
Using the Pauli matrices
σ
x
=
[
0
1
1
0
]
\sigma_x = \begin{bmatrix}0 & 1 \\ 1 & 0\end{bmatrix}
σ
x
=
[
0
1
1
0
]
and
σ
y
=
[
0
−
i
i
0
]
\sigma_y = \begin{bmatrix}0 & -i \\ i & 0\end{bmatrix}
σ
y
=
[
0
i
−
i
0
]
, compute the commutator
[
σ
x
,
σ
y
]
=
σ
x
σ
y
−
σ
y
σ
x
[\sigma_x, \sigma_y] = \sigma_x \sigma_y - \sigma_y \sigma_x
[
σ
x
,
σ
y
]
=
σ
x
σ
y
−
σ
y
σ
x
. What is the imaginary part of its top-left (0,0) entry?
🔬 try it before you answer
-2
0
1
2
Check answer