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Hadamard gate

{c}
{title2=$H^{\otimes n}$}
{wiki=Hadamard_transform}

On $n$ qubits, the Walsh-Hadamard transform satisfies
$$
H^{\otimes n}|x\rangle
=2^{-n/2}\sum_{y\in\{0,1\}^n}(-1)^{x\cdot y}|y\rangle,
$$
where the dot product is evaluated modulo two.


Walsh-Hadamard transform

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Walsh-Hadamard transform ( $H^{\otimes n}$ )

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Walsh-Hadamard transform (H⊗n)

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Walsh-Hadamard transform ( $H^{\otimes n}$ )

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