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Results tagged with quantum-fourier-transform
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user 5549
Quantum Fourier Transform (QFT) is a linear transformation on quantum bits and is the quantum analogue of the discrete Fourier transform. The quantum Fourier transform is a part of many quantum algorithms, notably Shor's algorithm for factoring and computing the discrete logarithm, the quantum phase estimation algorithm for estimating the eigenvalues of a unitary operator, and algorithms for the hidden subgroup problem. (Wikipedia)
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Translation by $s \in G$ is diagonal in the Fourier basis
Your computation is correct but incomplete. You want to show that your last expression is diagonal so basically you want to "couple" the $x_1$ and $y_2$ indices. You do this by computing the $x_2$ sum …
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