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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 \ No newline at end of file +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 \ No newline at end of file diff --git a/SS2026/Quantum Computing/17. Quantum Error Correction/Quantum Error Correction.md b/SS2026/Quantum Computing/17. Quantum Error Correction/Quantum Error Correction.md new file mode 100644 index 0000000..e69de29 diff --git a/SS2026/Quantum Computing/Introduction to Quantum Computing.md b/SS2026/Quantum Computing/Introduction to Quantum Computing.md index 0b6b7f2..0baaf92 100644 --- a/SS2026/Quantum Computing/Introduction to Quantum Computing.md +++ b/SS2026/Quantum Computing/Introduction to Quantum Computing.md @@ -14,3 +14,4 @@ ## 14. [[From Quantum Physics to Quantum Computers]] ## 15. [[Ion-based Quantum Computers]] ## 16. [[Universal Set of Gates]] +## 17. [[Quantum Error Correction]]