Work

Elementary proof of QAOA convergence

Year: 2024

Type: article

Abstract: The quantum alternating operator ansatz (QAOA) and its predecessor, the quantum approximate optimization algorithm, are one of the most widely used quantum algorithms for solving combinatorial optimization problems. However, as there is yet no rigorous proof of convergence for the QAOA, we provide one in this paper. The proof involves retracing the connection between the quantum adiabatic algorithm and the QAOA, and naturally suggests a refined definition of the ‘phase separator’ and ‘mixer’ keywords.

Source: New Journal of Physics

DOI: 10.1088/1367-2630/ad59bb

Authors: Lennart Binkowski, Gereon Koßmann, Timo Ziegler, René Schwonnek

Institutions: Leibniz University Hannover, RWTH Aachen University

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,485

Funders: Deutscher Akademischer Austauschdienst, Deutsche Forschungsgemeinschaft, Bundesministerium für Bildung und Forschung