Find the decomposition of the following matrix into two level unitary matrices

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Find the decomposition of the following matrix into two level unitary matrices:

$$ \frac{1}{2} \begin{pmatrix} 1 & 1 & 1 & 1\\ 1 & i & -1 & -i\\ 1 & -1 & 1 & -1\\ 1 & -i & -1 & i\\ \end{pmatrix} $$

QCM

Posted 2020-05-04T08:24:11.747

Reputation: 17

Question was closed 2020-05-04T20:16:11.013

Answers

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This is a Quantum Fourier Transform and the Wiki page provides a generic decomposition:

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Can you find your two qubit version?

draks ...

Posted 2020-05-04T08:24:11.747

Reputation: 578