From 46cbcaa733a384f2757449a536bfd94e9dd81037 Mon Sep 17 00:00:00 2001 From: Benjamin Neumann Date: Wed, 29 Jul 2026 09:23:16 +0200 Subject: [PATCH] vault backup: 2026-07-29 09:23:16 --- .obsidian/workspace.json | 20 ++++++------- .../Anhänge/Pasted image 20260729091741.png | Bin 0 -> 34128 bytes .../Anhänge/Pasted image 20260729092010.png | Bin 0 -> 13671 bytes .../Anhänge/Pasted image 20260729092121.png | Bin 0 -> 23057 bytes .../3. Quantum Systems/Quantum Systems.md | 27 ++++++++++++++++++ 5 files changed, 37 insertions(+), 10 deletions(-) create mode 100644 SS2026/Quantum Computing/3. Quantum Systems/Anhänge/Pasted image 20260729091741.png create mode 100644 SS2026/Quantum Computing/3. Quantum Systems/Anhänge/Pasted image 20260729092010.png create mode 100644 SS2026/Quantum Computing/3. Quantum Systems/Anhänge/Pasted image 20260729092121.png create mode 100644 SS2026/Quantum Computing/3. 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Quantum Systems/Quantum Systems.md b/SS2026/Quantum Computing/3. Quantum Systems/Quantum Systems.md new file mode 100644 index 0000000..826449e --- /dev/null +++ b/SS2026/Quantum Computing/3. Quantum Systems/Quantum Systems.md @@ -0,0 +1,27 @@ +## Classical possibilities +finite +all outcomes for a quantum system +`Random bit generator with 1 bit output = classical possibilities 0 and 1` + +## Quantum States +State of quantum system as vector +-> each entry = classical possibility +-> called amplitude +-> can be negative and are complex numbers +Amplitudes tell us the probability of quantum state being in the corresponding class. poss. +probability = |amplitude|^2 +$Pr[x] = |\psi|^2$ +Also: $\sqrt{\sum^n_{i=1} |\psi|^2} = 1$ + +Example: +![[Pasted image 20260729091741.png]] + + +## Unitary transformation + +![[Pasted image 20260729092010.png]] + +Example with Pauli-matrices: +![[Pasted image 20260729092121.png]] + +