# Quantum Gate - Top=|0> Bottom=|1> - +1 of X axis represents |+>, -1 represents |-> - Hermitian: 共軛 - Phi: 大寫Φ，小寫φ |gate|matrix|phase operator|bit-flip operator|Operation| |-|-|-|-|-| |pauli X|![](https://i.imgur.com/ZlmxpSk.png)|X|O|![](https://i.imgur.com/3gyEkm4.gif)| |pauli Y|![](https://i.imgur.com/SXhdrOz.png)|O|O|![](https://i.imgur.com/DqNSsgf.gif)| |pauli Z|![](https://i.imgur.com/t4sah7p.png)|O|X|![](https://i.imgur.com/4eWlKY3.gif) | |Hadamard (H) |![](https://i.imgur.com/5Abm2cN.png)|O|N/A|![](https://i.imgur.com/z8QQQtO.gif)| ![](https://i.imgur.com/7SOXLdz.png) ## Rotation on the bloch sphere ![](https://i.imgur.com/uU8zaP8.png) ## Quantum Universality >[color=#00F964] Any Quantum computation operation can be made by using a combination of: **{CNOT, H, S, T}** , which are made of Rotation ## cnot ![](https://i.imgur.com/sVrQKct.png) ## Bell state ![](https://i.imgur.com/Z3LnN8v.png) $T^4=S^2=Z$