appunti-steffo/7 - Introduction to quantum information processing/2 - Gates/universal gate.md

gate quantistico universale che opera condizionalmente su un qbit in base allo stato di un altro qbit, in modo simile a un controlled Pauli X gate:

\def \varX {{\color{coral} a}} \def \varY {{\color{cornflowerblue} b}} \def \varZ {{\color{yellowgreen} c}} \def \varI {{\color{hotpink} i}} \Huge \mathbf{U}_{0 \to 1}(\varX, \varY, \varZ)

\begin{bmatrix} 1 & 0 & 0 & 0 \ 0 & 1 & 0 & 0 \ 0 & 0 & e^{\varI \varY} \sin \left( \frac{\varX}{2} \right) & e^{\varI \varY + \varI \varZ} \sin \left( \frac{\varX}{2} \right) \ 0 & 0 & \cos \left( \frac{\varX}{2} \right) & - e^{\varI \varZ} \sin \left( \frac{\varX}{2} \right) \end{bmatrix}

==Deutsch gate?==