Coset state
= Coset state
For a finite group $G$, subgroup $H$, and $g\in G$, the coset state is the uniform superposition
$$
|gH\rangle=\frac1{\sqrt{|H|}}\sum_{h\in H}|gh\rangle.
$$
= Coset state
For a finite group $G$, subgroup $H$, and $g\in G$, the coset state is the uniform superposition
$$
|gH\rangle=\frac1{\sqrt{|H|}}\sum_{h\in H}|gh\rangle.
$$