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probability-amplitude [June 13, 2026 at 03:48] – Ivan Janevskiprobability-amplitude [June 13, 2026 at 03:49] (current) – Ivan Janevski
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 Classical probability uses real numbers in $[0, 1]$. Quantum mechanics uses complex numbers instead. The reason is interference: amplitudes can add or cancel before squaring, producing effects that no real-valued probability theory can describe. Classical probability uses real numbers in $[0, 1]$. Quantum mechanics uses complex numbers instead. The reason is interference: amplitudes can add or cancel before squaring, producing effects that no real-valued probability theory can describe.
  
-For a [[qubit]] $\lvert\psi\rangle = a\lvert 0\rangle + b\lvert 1\rangle$, $a$ is the amplitude for outcome 0 and $b$ is the amplitude for outcome 1. The +For a [[qubit]] $\lvert\psi\rangle = a\lvert 0\rangle + b\lvert 1\rangle$, $a$ is the amplitude for outcome 0 and $b$ is the amplitude for outcome 1.  
  
 $$P_0 = |a|^2 \qquad P_1 = |b|^2$$ $$P_0 = |a|^2 \qquad P_1 = |b|^2$$
probability-amplitude.1781322512.txt.gz · Last modified: by Ivan Janevski