6–11 Dec 2026
Stellenbosch University
Africa/Johannesburg timezone

Variational (Matrix) Product States for Combinatorial Optimization

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

Jan Mouton Learning Centre

Stellenbosch University

Poster

Speaker

Guillermo Javier Preisser Beltrán (Quantinuum)

Description

We present variational methods for combinatorial optimization based on product-state (PS) and matrix-product-state (MPS) ansatzes. The approach performs variational energy minimization of a quantum annealing Hamiltonian and incorporates stochastic exploration through an iterated local search (ILS) metaheuristic. The resulting quantum-inspired optimization algorithms are benchmarked on Max-Cut instances containing up to 50,000 variables. We demonstrate that the proposed methods outperform traditional (M)PS approaches, classical ILS, the Quantum Approximate Optimization Algorithm (QAOA), and several other variational quantum-inspired optimization techniques.

Topic Tensor methods and quantum-inspired machine learning
Additional Topic Hybrid quantum-classical approaches for learning and optimization

Author

Co-authors

Dr Conor Mc Keever (Quantinuum) Dr Michael Lubasch (Quantinuum)

Presentation materials