From 6aeddcf5002d7ce92ab931bdc0ff49f95e084bc6 Mon Sep 17 00:00:00 2001 From: Benjamin Neumann Date: Tue, 28 Jul 2026 16:12:28 +0200 Subject: [PATCH] vault backup: 2026-07-28 16:12:28 --- .../2. Probabilistic systems/Probabilistic Systems.md | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md b/SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md index c981f0b..51c6c19 100644 --- a/SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md +++ b/SS2026/Quantum Computing/2. Probabilistic systems/Probabilistic Systems.md @@ -1,3 +1,9 @@ ### Deterministic possibilities All the different possible outcomes. -Random two bit number has deterministic possibilities 00, 01, 10, 11. \ No newline at end of file +`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] +`For a coinflip 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 $d_i \geq 0$ \ No newline at end of file