4 papers
Harmoniq: Efficient Data Augmentation on a Quantum Computer Inspired by Harmonic Analysis
Kristina Kirova, Monika Doerfler, Franz Luef +1
Quantum machine learning has attracted significant interest in recent years. Most existing approaches, however, are variational in nature and require extensive parameter optimizati…
A Rigorous Quantum Framework for Inequality-Constrained and Multi-Objective Binary Optimization
Sebastian Egginger, Kristina Kirova, Sonja Bruckner +2
Encoding combinatorial optimization problems into physically meaningful Hamiltonians with tractable energy landscapes forms the foundation of quantum optimization. Numerous works h…
A Rigorous Quantum Framework for Inequality-Constrained and Multi-Objective Binary Optimization: Quadratic Cost Functions and Empirical Evaluations
Sebastian Egginger, Kristina Kirova, Sonja Bruckner +2
The prospect of quantum solutions for complicated optimization problems is contingent on mapping the original problem onto a tractable quantum energy landscape, e.g. an Ising-type…
Variational quantum thermalizers based on weakly-symmetric nonunitary multi-qubit operations
Elias Zapusek, Kristina Kirova, Walter Hahn +2
We propose incorporating multi-qubit nonunitary operations in Variational Quantum Thermalizers (VQTs). VQTs are hybrid quantum-classical algorithms that generate the thermal (Gibbs…