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Observing and measuring/Anhänge/Pasted image 20260729105142.png b/SS2026/Quantum Computing/4. Observing and measuring/Anhänge/Pasted image 20260729105142.png new file mode 100644 index 0000000..bf1553e Binary files /dev/null and b/SS2026/Quantum Computing/4. Observing and measuring/Anhänge/Pasted image 20260729105142.png differ diff --git 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 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