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Physical Review Research

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Optimization-free recursive Quantum Approximate Optimization Algorithm for the binary paint shop problem

Gary J Mooney ^1,*, Jedwin Villanueva ¹, Bhaskar Roy Bardhan², Joydip Ghosh ², Charles D Hill ^1,3, and Lloyd C L Hollenberg ^1,†

¹School of Physics, University of Melbourne, Parkville 3010, VIC, Australia
²Research and Advanced Engineering, Ford Motor Company, Dearborn, Michigan 48124, USA
³School of Mathematics and Statistics, University of Melbourne, Parkville 3010, VIC, Australia

^*Contact author: mooneyg@unimelb.edu.au
^†Contact author: lloydch@unimelb.edu.au

Evidence for effectively constant shot complexity in the quantum approximate optimization algorithm without per-instance optimization

Andrey Yu. Chernyavskiy, Denis A. Kulikov, Boris I. Bantysh, Yurii I. Bogdanov, Aleksey K. Fedorov, and Evgeniy O. Kiktenko

Phys. Rev. A 114 032405 (2026)

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