vault backup: 2026-07-29 10:53:22

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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:
+
+
 

SS2026/Quantum Computing/Introduction to Quantum Computing.md

@@ -0,0 +1 @@
+1. [[Introduction]]