6–11 Dec 2026
Stellenbosch University
Africa/Johannesburg timezone

Harmoniq: Efficient Quantum Data Augmentation Inspired by Quantum Harmonic Analysis

Not scheduled
20m
Jan Mouton Learning Centre (Stellenbosch University)

Jan Mouton Learning Centre

Stellenbosch University

Poster

Speaker

Kristina Kirova (Johannes Kepler University Linz)

Description

Quantum machine learning has attracted significant interest in recent years. Most existing approaches, however, are variational in nature and require extensive parameter optimization subroutines.
Here, we propose a conceptually distinct quantum machine learning approach that goes beyond the variational paradigm.
Harmoniq takes a novel data augmentation technique from quantum harmonic analysis and approximates it as a stochastic mixture of n-qubit circuits with (at most) quadratic depth each.
A key strength of Harmoniq is its modularity: viewed as a quantum process acting on density matrices, it can readily be combined with other quantum data processing and learning subroutines. A subsequent case study demonstrates this modularity by combining Harmoniq with stochastic amplitude encoding for the input density matrix and quantum PCA on the output density matrix. This results in a promising signal denoising pipeline that works particularly well in the small sample size regime.

Topic Encoding and processing of data in quantum systems
Additional Topic Quantum algorithms for machine learning applications

Authors

Kristina Kirova (Johannes Kepler University Linz) Prof. Monika Doerfler (University of Vienna) Prof. Franz Luef (Norwegian University of Science and Technology) Prof. Richard Kueng (Johannes Kepler University Linz)

Presentation materials