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SS2026/Quantum Computing/16. Universal set of gates/Universal Set of Gates.md

@@ -8,4 +8,25 @@ A universal set of gates is a set of gates which is necessary to generate all po
 ![[Pasted image 20260806095904.png]]
 
 But we can't create all gates from only Pauli matrices.
-For example, because we only manipu
+For example, because we only manipulate a single qubit, we cant create the CNOT gate, which creates entanglement.
+And we cannot create all single-qubit gates from only pauli matrices either... because the product of pauli matrices is always a pauli matrix again or the identity..
+
+
+## Other Gates
+
+![[Pasted image 20260806100803.png]]
+
+
+## Rotation Gates
+
+![[Pasted image 20260806100821.png]]![[Pasted image 20260806100826.png]]
+
+## Clifford Gates
+
+![[Pasted image 20260806100838.png]]
+
+
+## Gottesmann-Knill theorem
+
+![[Pasted image 20260806100859.png]]![[Pasted image 20260806100904.png]]
+1