CR gate

The CR gate is a controlled phase shift with angle θ\theta (radians), defined by:

 CR=(100001000010000eθi)\ CR = \begin{pmatrix} 1 & 0 & 0 & 0 \ 0 & 1 & 0 & 0 \ 0 & 0 & 1 & 0 \ 0 & 0 & 0 & e^{\theta i} \end{pmatrix}

This gate is a generalization of the CZ gate.