From e4e3f2d2e3f70d48ffce048acc9778c613302093 Mon Sep 17 00:00:00 2001
From: Benjamin Neumann <benjamin.richard.neumann@rwth-aachen.de>
Date: Tue, 28 Jul 2026 16:42:31 +0200
Subject: [PATCH] vault backup: 2026-07-28 16:42:30

---
 .obsidian/workspace.json                         |   3 ++-
 .../Anhänge/Pasted image 20260728163713.png      | Bin 0 -> 6130 bytes
 .../Probabilistic Systems.md                     |   5 ++++-
 3 files changed, 6 insertions(+), 2 deletions(-)
 create mode 100644 SS2026/Quantum Computing/2. Probabilistic systems/Anhänge/Pasted image 20260728163713.png

diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index c9f428a..99a58a7 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -216,6 +216,8 @@
   },
   "active": "25f5b25d5eca7203",
   "lastOpenFiles": [
+    "SS2026/Quantum Computing/2. Probabilistic systems/Anhänge/Pasted image 20260728163713.png",
+    "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/Probabilistic Systems.md",
@@ -245,7 +247,6 @@
     "SS2026/Datenbanken und Informationssysteme/8. Alternative Datenmodelle und No-SQL/Anhänge/Pasted image 20260723201457.png",
     "SS2026/Datenbanken und Informationssysteme/8. Alternative Datenmodelle und No-SQL/Anhänge/Pasted image 20260723200735.png",
     "SS2026/Datenbanken und Informationssysteme/9. RDF und Semantic Web/Anhänge",
-    "SS2026/Datenbanken und Informationssysteme/9. RDF und Semantic Web",
     "SS2026/Datenbanken und Informationssysteme/7. Transaktionsverwaltung/Anhänge/Pasted image 20260723185939.png",
     "SS2026/Datenbanken und Informationssysteme/7. Transaktionsverwaltung/Anhänge/Pasted image 20260723185557.png",
     "SS2026/Datenbanken und Informationssysteme/4. SQL/Unbenannt.md",
diff --git a/SS2026/Quantum Computing/2. Probabilistic systems/Anhänge/Pasted image 20260728163713.png b/SS2026/Quantum Computing/2. Probabilistic systems/Anhänge/Pasted image 20260728163713.png
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diff --git a/SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md b/SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md
index acdf7d0..55e2fde 100644
--- a/SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md	
+++ b/SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md	
@@ -10,4 +10,7 @@ A valid distribution d has $\sum d_i = 1$ and for all i is $d_i \geq 0$
 For a coin flip the probability distribution would be $d_coin \in \mathbb{R}^2$ with $d = (1/2, 1/2)^t$ 
 
 ### Probabilistic processes
-A probabilistic process is a Matrix A $\in$ $\mathbb{R}^{N \times N}$ if every column of A is a valid probability distribution
\ No newline at end of file
+A probabilistic process is a Matrix A $\in$ $\mathbb{R}^{N \times N}$ if every column of A is a valid probability distribution.
+![[Pasted image 20260728163713.png]]
+An example for generating a 2 bit number and then using a bit flip device to flip both 
+bits with a probability of 1/3 
\ No newline at end of file