vault backup: 2026-07-28 16:42:30

.obsidian/workspace.json

@@ -216,6 +216,8 @@
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     "SS2026/Quantum Computing/1. Introduction/Introduction.md",
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     "SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md",
@@ -245,7 +247,6 @@
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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
+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