28 lines
662 B
Markdown
28 lines
662 B
Markdown
## Classical possibilities
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finite
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all outcomes for a quantum system
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`Random bit generator with 1 bit output = classical possibilities 0 and 1`
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## Quantum States
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State of quantum system as vector
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-> each entry = classical possibility
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-> called amplitude
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-> can be negative and are complex numbers
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Amplitudes tell us the probability of quantum state being in the corresponding class. poss.
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probability = |amplitude|^2
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$Pr[x] = |\psi|^2$
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Also: $\sqrt{\sum^n_{i=1} |\psi|^2} = 1$
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Example:
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![[Pasted image 20260729091741.png]]
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## Unitary transformation
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![[Pasted image 20260729092010.png]]
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Example with Pauli-matrices:
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![[Pasted image 20260729092121.png]]
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