Qubit Superposition of $|0\rangle$ and $|1\rangle$:

$$ |\psi\rangle = \alpha|0\rangle + \beta|1\rangle $$

Where $|\alpha|^2 + |\beta|^2 = 1$ Quantum Gates Pauli-X (NOT)

$$ X = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} $$

Hadamard

$$ H = \frac{1}{\sqrt{2}}\begin{pmatrix} 1 & 1 \\ 1 & -1 \end{pmatrix} $$

Creates …

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