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r-gate [May 22, 2026 at 21:22] Ivan Janevskir-gate [Unknown date] (current) – removed - external edit (Unknown date) 127.0.0.1
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-# R-gate 
- 
-$$R_x(\theta) = e^{-i\theta\sigma_x/2}$$ 
-$$R_y(\theta) = e^{-i\theta\sigma_y/2}$$ 
-$$R_z(\theta) = e^{-i\theta\sigma_z/2}$$ 
- 
-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