probability-amplitude
Differences
This shows you the differences between two versions of the page.
| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| probability-amplitude [June 13, 2026 at 03:48] – Ivan Janevski | probability-amplitude [August 22, 2026 at 15:22] (current) – external edit 127.0.0.1 | ||
|---|---|---|---|
| Line 4: | Line 4: | ||
| Classical probability uses real numbers in $[0, 1]$. Quantum mechanics uses complex numbers instead. The reason is interference: | Classical probability uses real numbers in $[0, 1]$. Quantum mechanics uses complex numbers instead. The reason is interference: | ||
| - | 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.md.gz · Last modified: by Ivan Janevski
