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Multiple choice
The lesson derives the bridge between Hamiltonian evolution and gate-level programming for a single Pauli Z. Which identity relates
e
−
i
θ
Z
e^{-i\theta Z}
e
−
i
θ
Z
to the Rz rotation gate?
e
−
i
θ
Z
=
R
z
(
θ
)
e^{-i\theta Z} = \mathrm{Rz}(\theta)
e
−
i
θ
Z
=
Rz
(
θ
)
e
−
i
θ
Z
=
R
x
(
2
θ
)
e^{-i\theta Z} = \mathrm{Rx}(2\theta)
e
−
i
θ
Z
=
Rx
(
2
θ
)
e
−
i
θ
Z
=
R
z
(
θ
/
2
)
e^{-i\theta Z} = \mathrm{Rz}(\theta/2)
e
−
i
θ
Z
=
Rz
(
θ
/2
)
e
−
i
θ
Z
=
R
z
(
2
θ
)
e^{-i\theta Z} = \mathrm{Rz}(2\theta)
e
−
i
θ
Z
=
Rz
(
2
θ
)
Check answer