r-gate
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| r-gate [May 22, 2026 at 21:22] – Ivan Janevski | r-gate [Unknown date] (current) – removed - external edit (Unknown date) 127.0.0.1 | ||
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| - | # R-gate | ||
| - | |||
| - | $$R_x(\theta) = e^{-i\theta\sigma_x/ | ||
| - | $$R_y(\theta) = e^{-i\theta\sigma_y/ | ||
| - | $$R_z(\theta) = e^{-i\theta\sigma_z/ | ||
| - | |||
| - | After applying the exponential map: | ||
| - | |||
| - | $$R_x(\theta) = \cos\left(\frac{\theta}{2}\right)I + i\sin\left(\frac{\theta}{2}\right)X$$ | ||
| - | $$R_y(\theta) = \cos\left(\frac{\theta}{2}\right)I + i\sin\left(\frac{\theta}{2}\right)Y$$ | ||
| - | $$R_z(\theta) = \cos\left(\frac{\theta}{2}\right)I + i\sin\left(\frac{\theta}{2}\right)Z$$ | ||
r-gate.1779484941.txt.gz · Last modified: by Ivan Janevski
