vault backup: 2026-07-30 18:06:06

.obsidian/workspace.json

@@ -13,12 +13,12 @@
             "state": {
               "type": "markdown",
               "state": {
-                "file": "SS2026/Quantum Computing/Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md",
+                "file": "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Discrete Fourier Transformation.md",
                 "mode": "source",
                 "source": false
               },
               "icon": "lucide-file",
-              "title": "Bernstein-Vazirani Algorithm"
+              "title": "Discrete Fourier Transformation"
             }
           }
         ]
@@ -216,24 +216,25 @@
   },
   "active": "25f5b25d5eca7203",
   "lastOpenFiles": [
-    "SS2026/Quantum Computing/Bernstein-Vazirani/Anhänge/Pasted image 20260730155153.png",
-    "SS2026/Quantum Computing/Bernstein-Vazirani/Anhänge/Pasted image 20260730154444.png",
-    "SS2026/Quantum Computing/Bernstein-Vazirani/Anhänge/Pasted image 20260730153305.png",
-    "SS2026/Quantum Computing/Bernstein-Vazirani/Anhänge/Pasted image 20260730145119.png",
-    "SS2026/Quantum Computing/Bernstein-Vazirani/Anhänge/Pasted image 20260730144713.png",
-    "SS2026/Quantum Computing/Bernstein-Vazirani/Anhänge",
     "SS2026/Quantum Computing/Introduction to Quantum Computing.md",
+    "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Discrete Fourier Transformation.md",
+    "SS2026/Quantum Computing/10. Discrete Fourier Transformation",
+    "SS2026/Quantum Computing/9. Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md",
     "SS2026/Quantum Computing/Anhänge/Introduction-to-Quantum-Computing.pdf",
-    "SS2026/Quantum Computing/Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md",
+    "SS2026/Quantum Computing/9. Bernstein-Vazirani/Anhänge/Pasted image 20260730155153.png",
+    "SS2026/Quantum Computing/9. Bernstein-Vazirani/Anhänge/Pasted image 20260730154444.png",
+    "SS2026/Quantum Computing/9. Bernstein-Vazirani/Anhänge/Pasted image 20260730153305.png",
+    "SS2026/Quantum Computing/9. Bernstein-Vazirani/Anhänge/Pasted image 20260730145119.png",
+    "SS2026/Quantum Computing/9. Bernstein-Vazirani/Anhänge/Pasted image 20260730144713.png",
+    "SS2026/Quantum Computing/9. Bernstein-Vazirani/Anhänge",
     "SS2026/Quantum Computing/8. Ket Notation/Ket Notation.md",
-    "SS2026/Quantum Computing/Bernstein-Vazirani",
+    "SS2026/Quantum Computing/9. Bernstein-Vazirani",
     "SS2026/Quantum Computing/8. Ket Notation/Anhänge/Pasted image 20260730103836.png",
     "SS2026/Quantum Computing/8. Ket Notation/Anhänge/Pasted image 20260730103526.png",
     "SS2026/Quantum Computing/7. Quantum Circuits/Quantum Circuits.md",
     "SS2026/Quantum Computing/8. Ket Notation/Anhänge/Pasted image 20260730102318.png",
     "SS2026/Quantum Computing/8. Ket Notation/Anhänge/Pasted image 20260730102312.png",
     "SS2026/Quantum Computing/8. Ket Notation/Anhänge/Pasted image 20260730102305.png",
-    "SS2026/Quantum Computing/8. Ket Notation/Anhänge/Pasted image 20260730102024.png",
     "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",
@@ -243,7 +244,6 @@
     "SS2026/Quantum Computing/7. Quantum Circuits",
     "SS2026/Quantum Computing/6. Composite Systems/Anhänge",
     "SS2026/Quantum Computing/6. Composite Systems",
-    "SS2026/Quantum Computing/5. Partial observing and measuring/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/Quantum Computing/9. Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md

@@ -47,3 +47,4 @@ To check, we calculate $(H^{\otimes n})^\dagger \ket{s} \otimes \ket{-}$ and che
 
 ![[Pasted image 20260730155153.png]]
 
+Because $HH^\dagger = I$ we now can measure s on the top wire.

SS2026/Quantum Computing/Introduction to Quantum Computing.md

@@ -7,3 +7,4 @@
 ## 7. [[Quantum Circuits]]
 ## 8. [[Ket Notation]]
 ## 9. [[Bernstein-Vazirani Algorithm]]
+## 10. [[Discrete Fourier Transformation]]