A Fourier Transform for Qubit functions that allows similar functions to cancel out eachother. Useful to Parallelism, especially in Shor’s Algorithm.

Process

Single Input

Inputting a Qubit into QFT will result in an array of superposition of all other numbers with given weights.

  • The weights can be arranged like a Sine wave.
  • The frequency of the Sine wave is directly correlated with the magnitude of the initial Qubit

Superposition Input

Inputting a Superposition of Qubit will result in a Superposition of sine waves. This allows for Destructive Interference if the superpositions differ by a constant factor.