From b13609f695fec0b075a11d3ced6b91d6faa20f35 Mon Sep 17 00:00:00 2001 From: Benjamin Neumann Date: Wed, 29 Jul 2026 10:53:22 +0200 Subject: [PATCH] vault backup: 2026-07-29 10:53:22 --- .obsidian/graph.json | 2 +- .obsidian/workspace.json | 28 +++++++++++++----- SS2026/Klausurplan.canvas | 2 +- .../Anhänge/Pasted image 20260729105142.png | Bin 0 -> 4273 bytes ...abilistic and measuring quantum systems.md | 16 ++++++++++ .../Introduction to Quantum Computing.md | 1 + 6 files changed, 40 insertions(+), 9 deletions(-) create mode 100644 SS2026/Quantum Computing/4. 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Observing and measuring/Observing probabilistic and measuring quantum systems.md b/SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md index a2b23a0..b97b697 100644 --- a/SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md +++ b/SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md @@ -51,4 +51,20 @@ The bomb tester now looks like this: A photon in the up state $\begin{pmatrix} 1 \\ 0 \end{pmatrix}$ is sent through the first beam splitter. Afterwards the photon is in the state $\begin{pmatrix} \frac{1}{\sqrt{2}} \\ \frac{1}{\sqrt{2}} \end{pmatrix}$ +So the photon is in a superposition between up and down, so between passing through the box with maybe a bomb and passing through empty air. + +It makes a difference whether a bomb is inside the box or not!! + +First, what happens if there is no bomb: +Photon can pass through both paths. +Second beam splitter is reached in any case. + +After the second splitter the photon is in the state : $B(\begin{pmatrix} \frac{1}{\sqrt{2}} \\ \frac{1}{\sqrt{2}} \end{pmatrix})$ = $\begin{pmatrix} 1 \\ 0 \end{pmatrix}$ +After measuring we get the following distribution: +![[Pasted image 20260729105142.png]] + + +Now, what happens if there is a bomb: + + diff --git a/SS2026/Quantum Computing/Introduction to Quantum Computing.md b/SS2026/Quantum Computing/Introduction to Quantum Computing.md index e69de29..6f90b8b 100644 --- a/SS2026/Quantum Computing/Introduction to Quantum Computing.md +++ b/SS2026/Quantum Computing/Introduction to Quantum Computing.md @@ -0,0 +1 @@ +1. [[Introduction]] \ No newline at end of file