vault backup: 2026-07-29 09:08:15

2026-07-29 09:08:15 +02:00
parent e4e3f2d2e3
commit 993f092b4a
4 changed files with 10 additions and 3 deletions
@@ -13,4 +13,11 @@ For a coin flip the probability distribution would be $d_coin \in \mathbb{R}^2$
 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 
+bits with a probability of 1/3 
+For two zeroes this results in 1/3 chance to get 11 and 2/3 chance for nothing to happen.
+Here, A would look like this:
+![[Pasted image 20260728164547.png]]
+
+### Applying a probabilistic process
+A Process A applied to a distribution x is defined as Ax.
+![[Pasted image 20260728164820.png]]