Uniform quantum superposition
= Uniform quantum superposition
The uniform superposition of all $n$-bit strings is
$$
\frac1{\sqrt{2^n}}\sum_{x\in\{0,1\}^n}|x\rangle
=H^{\otimes n}|0\rangle^{\otimes n}.
$$
= Uniform quantum superposition
The uniform superposition of all $n$-bit strings is
$$
\frac1{\sqrt{2^n}}\sum_{x\in\{0,1\}^n}|x\rangle
=H^{\otimes n}|0\rangle^{\otimes n}.
$$