Dehighlight Alexey comment #37

Author: Ilia Lazarev

manuscript.tex

@@ -374,7 +374,7 @@ \subsection{Optimized quantum scheme for Hamming distance calculation}
 Each pair of $\{X\}$ and $\{Y\}$ forms a subspace of the Hilbert space, 
 the controlled rotation around $z$-axis gate ensures to change amplitudes of those outcomes within this subspace depending on how different the spin configurations between $\{X\}$ and $\{Y\}$ are.
 
-At this stage, the information regarding the differences between pairs of $\{X\}$ and $\{Y\}$ \hl{encoded in the amplitudes, in order to extract the Hamming distances between the relevant $\left| x_i \right\rangle$, $\left| y_j \right\rangle$ we return to our initial basis} for register $\left| X \right\rangle$ by applying pairwise CNOT gates:
+At this stage, the information regarding the differences between pairs of $\{X\}$ and $\{Y\}$ encoded in the amplitudes, in order to extract the Hamming distances between the relevant $\left| x_i \right\rangle$, $\left| y_j \right\rangle$ we return to our initial basis for register $\left| X \right\rangle$ by applying pairwise CNOT gates:
 %
 \begin{multline}
 	\label{eq:final_state}