Work

Elementary Proof of QAOA Convergence

Year: 2023

Type: preprint

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: arXiv (Cornell University)

DOI: 10.48550/arxiv.2302.04968

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

Institutions: Leibniz University Hannover, Volkswagen Group (Germany), Volkswagen Group (United States)

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Deutscher Akademischer Austauschdienst, Deutsche Forschungsgemeinschaft, Bundesministerium für Bildung und Forschung, Indian Institute of Technology Indore

Award: EXC 2123: QuantumFrontiers Licht und Materie an der Quantengrenze

OpenAlex ID: W4320558448

Cites: 15

Cited by: 2

Related to: 10