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Multiple choice
In qubitization, given an
(
α
,
m
)
(\alpha, m)
(
α
,
m
)
-block-encoding of
H
H
H
, the walk operator
W
W
W
has two eigenvalues
e
±
i
θ
k
e^{\pm i \theta_k}
e
±
i
θ
k
within each invariant 2D block for an eigenvalue
E
k
E_k
E
k
of
H
H
H
. What is
θ
k
\theta_k
θ
k
?
arcsin
(
α
/
E
k
)
\arcsin(\alpha / E_k)
arcsin
(
α
/
E
k
)
arccos
(
E
k
/
α
)
\arccos(E_k / \alpha)
arccos
(
E
k
/
α
)
exp
(
−
i
E
k
)
\exp(-i E_k)
exp
(
−
i
E
k
)
E
k
⋅
α
E_k \cdot \alpha
E
k
⋅
α
Check answer