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kephircheek
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Fix controlled rotation mention
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manuscript.tex

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@@ -295,7 +295,7 @@ \subsection{Optimized quantum scheme for Hamming distance calculation}
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instead it stores the information about pairwise different qubits between the input vector $\{X\}$ and cluster vector $\{Y\}$.
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Next, for each pair $\{X\}$ and $\{Y\}$, the accumulated information of all the differences is projected onto the amplitude of the superposed state.
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This is achieved by applying the Hadamard gate on auxiliary qubit,
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followed by a controlled rotation around $z$-axis gate on $\left| Xa \right\rangle$ defined as
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followed by a controlled rotation around z-axis gate~(\ref{eq:controled_rotation}) on $\left|a d_{ij}^{(\alpha)}\right\rangle$ where $d_{ij}^{(\alpha)}$ is the control qubit and $\left| a \right\rangle$ ancilla qubit register is the target.
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\begin{equation}
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\label{eq:controled_rotation}

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