From 9bdd296458eb2a99bbe4eb8422b7d37f388c1cfe Mon Sep 17 00:00:00 2001 From: Benjamin Neumann Date: Wed, 29 Jul 2026 12:38:25 +0200 Subject: [PATCH] vault backup: 2026-07-29 12:38:25 --- .obsidian/workspace.json | 16 ++++++------- .../Anhänge/Pasted image 20260729122658.png | Bin 0 -> 28553 bytes .../Anhänge/Pasted image 20260729122833.png | Bin 0 -> 25768 bytes .../Anhänge/Pasted image 20260729122952.png | Bin 0 -> 30343 bytes .../Anhänge/Pasted image 20260729123015.png | Bin 0 -> 22077 bytes .../Anhänge/Pasted image 20260729123551.png | Bin 0 -> 30252 bytes .../Anhänge/Pasted image 20260729123600.png | Bin 0 -> 8257 bytes ...Partial observing and measuring systems.md | 22 ++++++++++++++++++ 8 files changed, 30 insertions(+), 8 deletions(-) create mode 100644 SS2026/Quantum Computing/5. Partial observing and measuring/Anhänge/Pasted image 20260729122658.png create mode 100644 SS2026/Quantum Computing/5. Partial observing and measuring/Anhänge/Pasted image 20260729122833.png create mode 100644 SS2026/Quantum Computing/5. Partial observing and measuring/Anhänge/Pasted image 20260729122952.png create mode 100644 SS2026/Quantum Computing/5. Partial observing and measuring/Anhänge/Pasted image 20260729123015.png create mode 100644 SS2026/Quantum Computing/5. Partial observing and measuring/Anhänge/Pasted image 20260729123551.png create mode 100644 SS2026/Quantum Computing/5. Partial observing and measuring/Anhänge/Pasted image 20260729123600.png diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 0b97ded..99dca6d 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -216,6 +216,13 @@ }, "active": "25f5b25d5eca7203", "lastOpenFiles": [ + "SS2026/Quantum Computing/5. Partial observing and measuring/Anhänge/Pasted image 20260729123600.png", + "SS2026/Quantum Computing/5. 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Partial observing and measuring/Partial observing and measuring systems.md b/SS2026/Quantum Computing/5. Partial observing and measuring/Partial observing and measuring systems.md index 9fc3600..07568ab 100644 --- a/SS2026/Quantum Computing/5. Partial observing and measuring/Partial observing and measuring systems.md +++ b/SS2026/Quantum Computing/5. Partial observing and measuring/Partial observing and measuring systems.md @@ -1,2 +1,24 @@ A Partial observation is, as the name implies, only an observation of a partial aspect of the result. +First, we need to distinguish between alternatives we want to look at. +Each alternative is a set A of deterministic possibilities. +Partial observation yields for each alternative A the probability that the system is in a state in A. + +![[Pasted image 20260729122658.png]] + +We will often use this, less precise, definition however: + +![[Pasted image 20260729122833.png]] + +A partial observation of a classical probabilistic system does not change it. +An example for this: + +![[Pasted image 20260729122952.png]] +![[Pasted image 20260729123015.png]] + + +## Partially measuring a quantum system + +![[Pasted image 20260729123551.png]] +![[Pasted image 20260729123600.png]] +