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Rz operation

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Fully qualified name: Std.Intrinsic.Rz

operation Rz(theta : Double, qubit : Qubit) : Unit is Adj + Ctl

Summary

Applies a rotation about the z-axis by a given angle.

Input

theta

Angle about which the qubit is to be rotated.

qubit

Qubit to which the gate should be applied.

Remarks

$$ \begin{align} R_z(\theta) \mathrel{:=} e^{-i \theta \sigma_z / 2} = \begin{bmatrix} e^{-i \theta / 2} & 0 \\ 0 & e^{i \theta / 2} \end{bmatrix}. \end{align} $$

Equivalent to:

R(PauliZ, theta, qubit);