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This repository was archived by the owner on Jan 10, 2025. It is now read-only.
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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