|q⟩
Bad Qubits
Play
Quest
Questions
Learn
Playground
☕
← Question Bank
Multiple choice
The operator
A
=
[
3
0
0
−
1
]
A = \begin{bmatrix}3 & 0 \\ 0 & -1\end{bmatrix}
A
=
[
3
0
0
−
1
]
acts on the vector
v
=
∣
0
⟩
=
[
1
,
0
]
v = |0\rangle = [1,0]
v
=
∣0
⟩
=
[
1
,
0
]
. Since
A
⋅
v
A \cdot v
A
⋅
v
is a multiple of
v
v
v
,
∣
0
⟩
|0\rangle
∣0
⟩
is an eigenstate. What is its eigenvalue
λ
\lambda
λ
?
🔬 try it before you answer
1
-1
2
3
Check answer