Question

Recall the Hadamard gate H

H that transforms from the {|0⟩,|1⟩}

{|0⟩,|1⟩} basis to the {|+⟩,|−⟩}

{|+⟩,|−⟩} basis. In outer product notation, this gate can be written as,

Answer 1

$(\frac{|0⟩-|1⟩}{√2},\frac {|0⟩-|1⟩}{√2})$