From 597528cc6c5eb7e8765979f20c9e8d9f9e16ab88 Mon Sep 17 00:00:00 2001
From: Benjamin Neumann <benjamin.richard.neumann@rwth-aachen.de>
Date: Wed, 5 Aug 2026 10:32:02 +0200
Subject: [PATCH] vault backup: 2026-08-05 10:32:02

---
 .obsidian/workspace.json                      |  26 ++++++++--------
 .../Anhänge/Pasted image 20260805102238.png   | Bin 0 -> 2383 bytes
 .../Anhänge/Pasted image 20260805102605.png   | Bin 0 -> 3663 bytes
 .../Anhänge/Pasted image 20260805102659.png   | Bin 0 -> 2365 bytes
 .../Anhänge/Pasted image 20260805102717.png   | Bin 0 -> 2791 bytes
 .../Grover's Algorithm.md                     |  29 ++++++++++++++++++
 .../Introduction to Quantum Computing.md      |   1 +
 7 files changed, 43 insertions(+), 13 deletions(-)
 create mode 100644 SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805102238.png
 create mode 100644 SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805102605.png
 create mode 100644 SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805102659.png
 create mode 100644 SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805102717.png
 create mode 100644 SS2026/Quantum Computing/12. Grover's Algorithm/Grover's Algorithm.md

diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index e78126d..19eda2f 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -13,12 +13,12 @@
             "state": {
               "type": "markdown",
               "state": {
-                "file": "SS2026/Quantum Computing/11. Shor's Algorithm/Shor's Algorithm.md",
+                "file": "SS2026/Quantum Computing/12. Grover's Algorithm/Grover's Algorithm.md",
                 "mode": "source",
                 "source": false
               },
               "icon": "lucide-file",
-              "title": "Shor's Algorithm"
+              "title": "Grover's Algorithm"
             }
           }
         ]
@@ -218,6 +218,16 @@
   },
   "active": "25f5b25d5eca7203",
   "lastOpenFiles": [
+    "SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805102717.png",
+    "SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805102659.png",
+    "SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805102605.png",
+    "SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805102238.png",
+    "SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge",
+    "SS2026/Quantum Computing/Introduction to Quantum Computing.md",
+    "SS2026/Quantum Computing/12. Grover's Algorithm/Grover's Algorithm.md",
+    "SS2026/Quantum Computing/12. Grover's Algorithm",
+    "SS2026/Klausurplan.canvas",
+    "SS2026/Quantum Computing/11. Shor's Algorithm/Shor's Algorithm.md",
     "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202123.png",
     "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202055.png",
     "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202048.png",
@@ -225,16 +235,10 @@
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     "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201944.png",
     "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201734.png",
-    "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201418.png",
-    "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730195353.png",
-    "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730195332.png",
     "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge",
     "SS2026/Quantum Computing/Anhänge/Introduction-to-Quantum-Computing.pdf",
-    "SS2026/Quantum Computing/11. Shor's Algorithm/Shor's Algorithm.md",
-    "SS2026/Quantum Computing/Introduction to Quantum Computing.md",
     "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Discrete Fourier Transformation.md",
     "SS2026/Quantum Computing/11. Shor's Algorithm",
-    "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Anhänge/Pasted image 20260730185144.png",
     "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Anhänge",
     "SS2026/Quantum Computing/10. Discrete Fourier Transformation",
     "SS2026/Quantum Computing/9. Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md",
@@ -243,15 +247,12 @@
     "SS2026/Quantum Computing/9. Bernstein-Vazirani",
     "SS2026/Quantum Computing/7. Quantum Circuits/Quantum Circuits.md",
     "SS2026/Quantum Computing/8. Ket Notation/Anhänge",
-    "SS2026/Quantum Computing/8. Ket Notation",
     "SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md",
     "SS2026/Quantum Computing/5. Partial observing and measuring/Partial observing and measuring systems.md",
     "SS2026/Quantum Computing/6. Composite Systems/Composite Systems.md",
-    "SS2026/Quantum Computing/7. Quantum Circuits/Anhänge",
     "SS2026/Quantum Computing/1. Introduction/Introduction to Quantum physics.md",
     "SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md",
     "SS2026/Quantum Computing/3. Quantum Systems/Quantum Systems.md",
-    "SS2026/Klausurplan.canvas",
     "SS2026/Datenbanken und Informationssysteme/4. SQL/SQL.md",
     "SS2026/Datenbanken und Informationssysteme/Datenbanken und Informationssysteme.md",
     "SS2026/Datenbanken und Informationssysteme/5. Relationale Anfragebearbeitung/Relationale Anfragebearbeitung.md",
@@ -263,7 +264,6 @@
     "SS2026/Datenbanken und Informationssysteme/4. SQL/Unbenannt.md",
     "SS2026/Datenbanken und Informationssysteme/4. SQL/TCL Transaction Control Language SQL.md",
     "SS2026/Datenbanken und Informationssysteme/4. SQL/DQL Data Query Language SQL.md",
-    "SS2026/Datenbanken und Informationssysteme/4. SQL/DML Data Manipulation Language SQL.md",
-    "SS2026/Datenbanken und Informationssysteme/4. SQL/DDL Data Definition Language SQL.md"
+    "SS2026/Datenbanken und Informationssysteme/4. SQL/DML Data Manipulation Language SQL.md"
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diff --git a/SS2026/Quantum Computing/12. Grover's Algorithm/Grover's Algorithm.md b/SS2026/Quantum Computing/12. Grover's Algorithm/Grover's Algorithm.md
new file mode 100644
index 0000000..91c8b05
--- /dev/null
+++ b/SS2026/Quantum Computing/12. Grover's Algorithm/Grover's Algorithm.md	
@@ -0,0 +1,29 @@
+Another well known quantum algorithm for searching.
+Takes a function $f : \{0,1\}^n \rightarrow \{0,1\}$ where f(x) = 1 for exactly one x. 
+The goal is to find x.
+
+New gates: $V_f$ and FLIP$_*$ 
+
+$\ket{*}$ denotes the superposition over al classical possibilities.
+
+### Oracle $V_f$
+
+![[Pasted image 20260805102238.png]]
+
+We use the Unitary $U_f$ as previously defined to construct $V_f$
+
+![[Pasted image 20260805102605.png]]
+
+
+### FLIP$_*$
+
+We first need FLIP$_0$ defined as follows:
+![[Pasted image 20260805102659.png]]
+
+This is implemented via this circuit:
+
+![[Pasted image 20260805102717.png]]
+
+Z is a Pauli matrix and the empty circles denote negative control wires.
+So Z is only applied if all other wires are $\ket{0}$ 
+
diff --git a/SS2026/Quantum Computing/Introduction to Quantum Computing.md b/SS2026/Quantum Computing/Introduction to Quantum Computing.md
index 791ef94..244bc46 100644
--- a/SS2026/Quantum Computing/Introduction to Quantum Computing.md	
+++ b/SS2026/Quantum Computing/Introduction to Quantum Computing.md	
@@ -9,3 +9,4 @@
 ## 9. [[Bernstein-Vazirani Algorithm]]
 ## 10. [[Discrete Fourier Transformation]]
 ## 11. [[Shor's Algorithm]]
+## 12. [[Grover's Algorithm]]