I want to apply QFT to some common applications like on wave equations. I haven't found any applications of QFT except Shor's algorithm and I am yet to build an intuition for its use cases. I am a beginner in QC. It would be great if someone can help!


1 Answer 1


One example where the QFT comes up is in simulating quantum particles' position and momenta. A typical use of the discrete Fourier Transform is classical applications is to convert time-domain signals into frequency-domain spectra, and an analogous relationship between the position and momentum domains allows you to convert a wavefunction that represents the (probability) distribution of a particle in space into a wavefunction that represents that same particle's momentum spectrum.

To study the dynamics of particles using a scheme like this, you have to specify a way to discretize position space so that you'll be able to represent a continuum of position/momentum values on a system with finite-dimensional wavefunctions (this involves defining the minimum/maximum position you will represent, the grid spacing in position/momentum space, and so on). An example of such a discretization or "digitization" formalism is given in [1], or for a more thorough review see [2].

[1] Ronaldo D Somma. "Quantum simulations of one dimensional quantum systems". arXiv preprint: https://arxiv.org/abs/1503.06319

[2] Natalie Klco and Martin J. Savage. “Digitization of Scalar Fields for Quantum Computing.” Physical Review A 99.5 (2019): https://arxiv.org/abs/1808.10378


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.