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Table 2 Number of quantum gates required by \(\textbf{A}_{y_i}\)

From: Quantum search algorithm for binary constant weight codes

Gate

Number of gates

 

H

\(q_{1}+q_{2}\)

\(=O(q_{1} + \log M\log w)\)

R

\(q_{2}\)

\(=O(\log q_{1} + \log M \log w)\)

1-CR

\(q_{1} \cdot q_{2}\)

\(=O\left( q_{1}\left( \log q_{1} + \log M \log w\right) \right) \)

2-CR

\(q_{1}(q_{1}-1) \cdot q_{2} /2\)

\(=O\left( q_{1}^2\left( \log q_{1} + \log M \log w\right) \right) \)

IQFT

1

\(=O(1)\)