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ObsidianVault/SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md
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Observing = learning outcome

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Because after observing all possibilities collapse to one.

Example:

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The point here is that the result doesn't change if we observe at any point in the process!

Measuring a quantum system

Given a quantum state \psi \in \mathbb{C}^n we will !Pasted image 20260729094624.png

BUT!!! Measuring a quantum state CHANGES THE SYSTEM!!!

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Elitzur-Vaidman bomb tester

Given a box we want to determine whether it contains a bomb. To test, a photon can be send through the box.

  • if the bomb detects a photon it explodes!
  • if no bomb is present nothing happens

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Beam Splitter

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A beam splitter is a semi transparent mirror. Photons entering from up can come out on the up or down path - analog for down Quantum mechanically it could come in a superposition between up and down