R1 operation

Fully qualified name: Std.Intrinsic.R1

operation R1(theta : Double, qubit : Qubit) : Unit is Adj + Ctl

Summary

Applies a rotation about the |1⟩ state 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

$$ \begin{align} R_1(\theta) \mathrel{:=} \operatorname{diag}(1, e^{i\theta}). \end{align} $$

Equivalent to:

R(PauliZ, theta, qubit);
R(PauliI, -theta, qubit);