I'm having a very hard time understanding how the QFT can be realised using just the Hadamard and controlled rotation gates. Furthermore, I cannot see why swap gates are used to reverse the order of the qubits. I'm embarrassed that dont have much by way of any attempt to show here since I am so stumped by this but I can set up a scenario. Say we wish to perform the transformation on a 3 qubit system in the superposition state (omitting normalization factors)(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\sum\limits_{x=0}^7|{x}\rangle= |{000}\rangle+|{001}\rangle+|{010}\rangle+...+|{111\rangle}=|{1}\rangle+|{2}\rangle+...+|{7}\rangle[/itex]

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Quantum Fourier Transform circuit

Loading...

Similar Threads - Quantum Fourier Transform | Date |
---|---|

I Fourier conjugates and momentum | Oct 3, 2017 |

I 'Normalisation' of Fourier Transforms in QFT | Aug 1, 2017 |

A Conjugate variables in the Fourier and Legendre transforms | Nov 7, 2016 |

How does the formula C-6 come about in the following image? | Feb 23, 2016 |

Bounds of a Fourier Transform | Oct 8, 2015 |

**Physics Forums - The Fusion of Science and Community**