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quant-ph2026

Spectral methods: crucial for machine learning, natural for quantum computers?

Vasilis Belis, Joseph Bowles, Rishabh Gupta +2

This article presents an argument for why quantum computers could unlock new methods for machine learning. We argue that spectral methods, in particular those that learn, regularis…

quant-ph2026

Probabilistic modeling over permutations using quantum computers

Vasilis Belis, Giulio Crognaletti, Matteo Argenton +2

Quantum computers provide a super-exponential speedup for performing a Fourier transform over the symmetric group, an ability for which practical use cases have remained elusive so…

quant-ph2026

Group Fourier filtering of quantum resources in quantum phase space

Luke Coffman, N. L. Diaz, Martin Larocca +2

Recently, it has been shown that group Fourier analysis of quantum states, i.e., decomposing them into the irreducible representations (irreps) of a symmetry group, enables new way…

quant-ph2025

Quantum Machine Learning

Muhammad Usman

The meteoric rise of artificial intelligence in recent years has seen machine learning methods become ubiquitous in modern science, technology, and industry. Concurrently, the emer…

quant-ph2024

Inference, interference and invariance: How the Quantum Fourier Transform can help to learn from data

David Wakeham, Maria Schuld

How can we take inspiration from a typical quantum algorithm to design heuristics for machine learning? A common blueprint, used from Deutsch-Josza to Shor's algorithm, is to place…