From 781df178f7585573a9378da7f366d2900105e4a9 Mon Sep 17 00:00:00 2001 From: Benjamin Neumann Date: Thu, 6 Aug 2026 11:15:53 +0200 Subject: [PATCH] vault backup: 2026-08-06 11:15:53 --- .obsidian/workspace.json | 12 +++---- .../Anhänge/Pasted image 20260806110847.png | Bin 0 -> 3300 bytes .../Anhänge/Pasted image 20260806111316.png | Bin 0 -> 13985 bytes .../Anhänge/Pasted image 20260806111448.png | Bin 0 -> 30737 bytes .../Anhänge/Pasted image 20260806111549.png | Bin 0 -> 18784 bytes .../Quantum Error Correction.md | 30 ++++++++++++++++++ 6 files changed, 36 insertions(+), 6 deletions(-) create mode 100644 SS2026/Quantum Computing/17. Quantum Error Correction/Anhänge/Pasted image 20260806110847.png create mode 100644 SS2026/Quantum Computing/17. Quantum Error Correction/Anhänge/Pasted image 20260806111316.png create mode 100644 SS2026/Quantum Computing/17. Quantum Error Correction/Anhänge/Pasted image 20260806111448.png create mode 100644 SS2026/Quantum Computing/17. Quantum Error Correction/Anhänge/Pasted image 20260806111549.png diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 5773440..9e3775c 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -218,6 +218,11 @@ }, "active": "25f5b25d5eca7203", "lastOpenFiles": [ + "SS2026/Quantum Computing/17. Quantum Error Correction/Anhänge/Pasted image 20260806111549.png", + "SS2026/Quantum Computing/17. Quantum Error Correction/Anhänge/Pasted image 20260806111448.png", + "SS2026/Quantum Computing/17. Quantum Error Correction/Anhänge/Pasted image 20260806111316.png", + "SS2026/Quantum Computing/17. Quantum Error Correction/Anhänge/Pasted image 20260806110847.png", + "SS2026/Quantum Computing/17. Quantum Error Correction/Anhänge", "SS2026/Quantum Computing/Introduction to Quantum Computing.md", "SS2026/Quantum Computing/17. Quantum Error Correction/Quantum Error Correction.md", "SS2026/Quantum Computing/16. Universal set of gates/Universal Set of Gates.md", @@ -229,12 +234,9 @@ "SS2026/Quantum Computing/16. Universal set of gates/Anhänge/Pasted image 20260806100821.png", "SS2026/Quantum Computing/16. Universal set of gates/Anhänge/Pasted image 20260806100803.png", "SS2026/Quantum Computing/16. Universal set of gates/Anhänge/Pasted image 20260806095904.png", - "SS2026/Quantum Computing/16. Universal set of gates/Anhänge/Pasted image 20260806095829.png", "SS2026/Quantum Computing/16. Universal set of gates/Anhänge", "SS2026/Quantum Computing/15. Ion-based/Ion-based Quantum Computers.md", "SS2026/Quantum Computing/16. Universal set of gates", - "SS2026/Quantum Computing/15. Ion-based/Anhänge/Pasted image 20260805194639.png", - "SS2026/Quantum Computing/15. Ion-based/Anhänge/Pasted image 20260805194630.png", "SS2026/Quantum Computing/15. Ion-based/Anhänge", "SS2026/Quantum Computing/14. Quantum Computer/From Quantum Physics to Quantum Computers.md", "SS2026/Quantum Computing/15. Ion-based", @@ -244,7 +246,6 @@ "SS2026/Quantum Computing/14. Quantum Computer", "SS2026/Quantum Computing/13. Quantum Physics/Anhänge", "SS2026/Quantum Computing/12. Grover's Algorithm/Grover's Algorithm.md", - "SS2026/Quantum Computing/13. Quantum Physics", "SS2026/Klausurplan.canvas", "SS2026/Quantum Computing/11. Shor's Algorithm/Shor's Algorithm.md", "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Discrete Fourier Transformation.md", @@ -263,7 +264,6 @@ "SS2026/Datenbanken und Informationssysteme/9. RDF und Semantic Web/Resource Description Framework und Wissensgraphen.md", "SS2026/Datenbanken und Informationssysteme/6. Relationale Entwurfstheorie/Relationale Entwurfstheorie.md", "SS2026/Datenbanken und Informationssysteme/7. Transaktionsverwaltung/Transaktionsverwaltung.md", - "SS2026/Datenbanken und Informationssysteme/MongoDB/MongoDB.md", - "SS2026/Datenbanken und Informationssysteme/8. Alternative Datenmodelle und No-SQL/Alternative Datenmodelle und No-SQL.md" + "SS2026/Datenbanken und Informationssysteme/MongoDB/MongoDB.md" ] } \ No newline at end of file diff --git a/SS2026/Quantum Computing/17. Quantum Error Correction/Anhänge/Pasted image 20260806110847.png b/SS2026/Quantum Computing/17. 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iH#17Vzy0QvddLf$vV8M66!=vkkh-##QjwzNi~kR;yGlg> literal 0 HcmV?d00001 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 index e69de29..1864357 100644 --- a/SS2026/Quantum Computing/17. Quantum Error Correction/Quantum Error Correction.md +++ b/SS2026/Quantum Computing/17. Quantum Error Correction/Quantum Error Correction.md @@ -0,0 +1,30 @@ +One of the biggest challenges in quantum computing is noise. +As an Example, when we apply a unitary, this unitary might not behave exactly as expected. + +Classically, error correction uses some kind of error correcting code which, in turn, must also be transmitted over a noisy channel. + +![[Pasted image 20260806110847.png]] + + +## Repetition codes + +The simplest classical error correcting code is repetition. +If we send the bit 0, we repeat it 3 times, same for 1. 0 = 000, 1 = 111. +Hamming abstand 3 = 1 bitfehler korrigieren. + +In a quantum system we can't just look at (measure) our system to repeat it. + +### Bit Flip Code + +![[Pasted image 20260806111316.png]] + +Note that we cant just measure if an error has occurred, so we use this circuit: + +![[Pasted image 20260806111448.png]] + +### Phase Flip Code + +Correcting Z-errors is possible with this: + +![[Pasted image 20260806111549.png]] +