mirror of
https://github.com/Steffo99/appunti-magistrali.git
synced 2024-11-28 12:54:18 +00:00
17 lines
622 B
Markdown
17 lines
622 B
Markdown
[[gate quantistico universale]] che opera condizionalmente su un [[qbit]] in base allo stato di un altro [[qbit]]:
|
|
$$
|
|
\def \varX {{\color{coral} \theta}}
|
|
\def \varY {{\color{cornflowerblue} \phi}}
|
|
\def \varZ {{\color{yellowgreen} \lambda}}
|
|
\def \varI {{\color{hotpink} i}}
|
|
\Huge
|
|
\mathbf{U}_{0 \to 1}(\varX, \varY, \varZ)
|
|
=
|
|
\begin{bmatrix}
|
|
1 & 0 & 0 & 0 \\
|
|
0 & 1 & 0 & 0 \\
|
|
0 & 0 & e^{\varI \varY} \sin \left( \frac{\varX}{2} \right) & e^{\varI \varY + \varI \varZ} \sin \left( \frac{\varX}{2} \right) \\
|
|
0 & 0 & \cos \left( \frac{\varX}{2} \right) &
|
|
- e^{\varI \varZ} \sin \left( \frac{\varX}{2} \right)
|
|
\end{bmatrix}
|
|
$$
|