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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]]:
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$$
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\def \varX {{\color{coral} \theta}}
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\def \varY {{\color{cornflowerblue} \phi}}
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\def \varZ {{\color{yellowgreen} \lambda}}
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\def \varI {{\color{hotpink} i}}
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\Huge
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\mathbf{U}_{0 \to 1}(\varX, \varY, \varZ)
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=
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\begin{bmatrix}
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1 & 0 & 0 & 0 \\
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0 & 1 & 0 & 0 \\
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0 & 0 & e^{\varI \varY} \sin \left( \frac{\varX}{2} \right) & e^{\varI \varY + \varI \varZ} \sin \left( \frac{\varX}{2} \right) \\
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0 & 0 & \cos \left( \frac{\varX}{2} \right) &
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- e^{\varI \varZ} \sin \left( \frac{\varX}{2} \right)
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\end{bmatrix}
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$$
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