From 881c0eb4e2f50e6a51f2f8429edbf08efd3e5219 Mon Sep 17 00:00:00 2001
From: Benjamin Neumann <benjamin.richard.neumann@rwth-aachen.de>
Date: Wed, 29 Jul 2026 11:08:22 +0200
Subject: [PATCH] vault backup: 2026-07-29 11:08:22

---
 .obsidian/graph.json                          |   2 +-
 .obsidian/workspace.json                      |  40 ++++++------------
 ....md => Introduction to Quantum physics.md} |   0
 .../Probabilistic Systems.md                  |   2 +-
 .../Anhänge/Pasted image 20260729110112.png   | Bin 0 -> 6084 bytes
 .../Anhänge/Pasted image 20260729110515.png   | Bin 0 -> 6121 bytes
 ...abilistic and measuring quantum systems.md |  17 ++++++++
 ...Partial observing and measuring systems.md |   0
 .../Introduction to Quantum Computing.md      |   6 ++-
 9 files changed, 37 insertions(+), 30 deletions(-)
 rename SS2026/Quantum Computing/1. Introduction/{Introduction.md => Introduction to Quantum physics.md} (100%)
 create mode 100644 SS2026/Quantum Computing/4. Observing and measuring/Anhänge/Pasted image 20260729110112.png
 create mode 100644 SS2026/Quantum Computing/4. Observing and measuring/Anhänge/Pasted image 20260729110515.png
 create mode 100644 SS2026/Quantum Computing/5. Partial observing and measuring/Partial observing and measuring systems.md

diff --git a/.obsidian/graph.json b/.obsidian/graph.json
index 6159b69..a8549be 100644
--- a/.obsidian/graph.json
+++ b/.obsidian/graph.json
@@ -17,6 +17,6 @@
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   "linkStrength": 1,
   "linkDistance": 250,
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+  "scale": 0.7132754626224387,
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 }
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diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index a965be7..0b97ded 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -13,12 +13,12 @@
             "state": {
               "type": "markdown",
               "state": {
-                "file": "SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md",
+                "file": "SS2026/Quantum Computing/5. Partial observing and measuring/Partial observing and measuring systems.md",
                 "mode": "source",
                 "source": false
               },
               "icon": "lucide-file",
-              "title": "Observing probabilistic and measuring quantum systems"
+              "title": "Partial observing and measuring systems"
             }
           }
         ]
@@ -38,23 +38,8 @@
               "icon": "lucide-file-text",
               "title": "Introduction-to-Quantum-Computing"
             }
-          },
-          {
-            "id": "1e162c9c3673c5c0",
-            "type": "leaf",
-            "state": {
-              "type": "markdown",
-              "state": {
-                "file": "SS2026/Quantum Computing/1. Introduction/Introduction.md",
-                "mode": "source",
-                "source": false
-              },
-              "icon": "lucide-file",
-              "title": "Introduction"
-            }
           }
-        ],
-        "currentTab": 1
+        ]
       }
     ],
     "direction": "vertical"
@@ -229,11 +214,19 @@
       "obsidian-git:Open Git source control": false
     }
   },
-  "active": "1e162c9c3673c5c0",
+  "active": "25f5b25d5eca7203",
   "lastOpenFiles": [
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-    "SS2026/Klausurplan.canvas",
+    "SS2026/Quantum Computing/5. Partial observing and measuring/Partial observing and measuring systems.md",
     "SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md",
+    "SS2026/Quantum Computing/5. Partial observing and measuring",
+    "SS2026/Quantum Computing/4. Observing and measuring/Anhänge/Pasted image 20260729110515.png",
+    "SS2026/Quantum Computing/4. Observing and measuring/Anhänge/Pasted image 20260729110112.png",
+    "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/Anhänge/Introduction-to-Quantum-Computing.pdf",
+    "SS2026/Klausurplan.canvas",
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     "SS2026/Quantum Computing/4. Observing and measuring/Anhänge/Pasted image 20260729101220.png",
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@@ -242,21 +235,14 @@
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     "SS2026/Quantum Computing/4. Observing and measuring/Anhänge/Pasted image 20260729094624.png",
-    "SS2026/Quantum Computing/4. Observing and measuring/Anhänge/Pasted image 20260729093834.png",
-    "SS2026/Quantum Computing/4. Observing and measuring/Anhänge/Pasted image 20260729093827.png",
     "SS2026/Quantum Computing/4. Observing and measuring/Anhänge",
-    "SS2026/Quantum Computing/3. Quantum Systems/Quantum Systems.md",
     "SS2026/Quantum Computing/4. Observing and measuring",
     "SS2026/Quantum Computing/3. Quantum Systems/Anhänge",
-    "SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md",
     "SS2026/Quantum Computing/3. Quantum Systems",
     "SS2026/Quantum Computing/2. Probabilistic systems/Anhänge",
-    "SS2026/Quantum Computing/1. Introduction/Introduction.md",
-    "SS2026/Quantum Computing/Anhänge/Introduction-to-Quantum-Computing.pdf",
     "SS2026/Quantum Computing/2. Probabilistic systems",
     "SS2026/Quantum Computing/1. Introduction/Anhänge",
     "SS2026/Quantum Computing/1. Introduction",
-    "SS2026/Quantum Computing/Anhänge",
     "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",
diff --git a/SS2026/Quantum Computing/1. Introduction/Introduction.md b/SS2026/Quantum Computing/1. Introduction/Introduction to Quantum physics.md
similarity index 100%
rename from SS2026/Quantum Computing/1. Introduction/Introduction.md
rename to SS2026/Quantum Computing/1. Introduction/Introduction to Quantum physics.md
diff --git a/SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md b/SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md
index 36fe872..f611252 100644
--- a/SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md	
+++ b/SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md	
@@ -3,7 +3,7 @@ All the different possible outcomes.
 `Random two bit number has deterministic possibilities 00, 01, 10, 11.`
 
 ### Probability distribution
-A Probability for each possibility: Pr[x] = p where p $\in$ [0,1]
+A Probability for each possibility: Pr\[x] = p where p $\in$ \[0,1]
 `For a coin flip this would be Pr[Heads] = 1/2 and Pr[Tails] = 1/2`
 Combine all probabilities for all possible outcomes as vector to get probability distribution+
 A valid distribution d has $\sum d_i = 1$ and for all i is $d_i \geq 0$ 
diff --git a/SS2026/Quantum Computing/4. Observing and measuring/Anhänge/Pasted image 20260729110112.png b/SS2026/Quantum Computing/4. Observing and measuring/Anhänge/Pasted image 20260729110112.png
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diff --git a/SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md b/SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md
index b97b697..ccc6b60 100644
--- a/SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md	
+++ b/SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md	
@@ -65,6 +65,23 @@ After measuring we get the following distribution:
 
 
 Now, what happens if there is a bomb:
+We effectively measure if the photon took the up/down path.
+Pr\[up] = Pr\[down] = ($\frac{1}{\sqrt{2}}$)^2 = $\frac{1}{2}$
+If the photon is in the down state the bomb explodes.
+If the photon is in the up state $\begin{pmatrix} 1 \\ 0 \end{pmatrix}$ post-measurement after no explosion it reaches the second splitter after which it is in the state B$\begin{pmatrix} 1 \\ 0 \end{pmatrix}$ = $\begin{pmatrix} \frac{1}{\sqrt{2}} \\ \frac{1}{\sqrt{2}} \end{pmatrix}$  
+This leads to the following probability distribution:
+![[Pasted image 20260729110112.png]]
+
+Now, from this we can see that if the photon arrives in the down state,
+there must be a bomb present!
+
+Still, we have a 50% chance of getting blown to smithereens xd
+BUT having a 25% chance to observe a bomb without the photon touching it is impossible classically!!
+
+This setup can be improved (to much physics) to achieve the following distribution:
+![[Pasted image 20260729110515.png]]
+
+
 
 
 
diff --git a/SS2026/Quantum Computing/5. Partial observing and measuring/Partial observing and measuring systems.md b/SS2026/Quantum Computing/5. Partial observing and measuring/Partial observing and measuring systems.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 6f90b8b..4edcccc 100644
--- a/SS2026/Quantum Computing/Introduction to Quantum Computing.md	
+++ b/SS2026/Quantum Computing/Introduction to Quantum Computing.md	
@@ -1 +1,5 @@
-1. [[Introduction]]
\ No newline at end of file
+## 1. [[Introduction to Quantum physics]]
+## 2. [[Probabilistic Systems]]
+## 3. [[Quantum Systems]]
+## 4. [[Observing probabilistic and measuring quantum systems]]
+## 5. [[Partial observing and measuring systems]]