Evaluating Parameter Transfer in FALQON Across Graph Families

Fuente: arXiv
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Main Authors: Fumaco, Alisson dos Passos, Reballo, Marcos Vinicius, de Barros, Fernando Augusto Caletti, Thomaz, Gabriel Fernandes, Duzzioni, Eduardo I.
Format: Preprint
Published: 2026
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author Fumaco, Alisson dos Passos
Reballo, Marcos Vinicius
de Barros, Fernando Augusto Caletti
Thomaz, Gabriel Fernandes
Duzzioni, Eduardo I.
author_facet Fumaco, Alisson dos Passos
Reballo, Marcos Vinicius
de Barros, Fernando Augusto Caletti
Thomaz, Gabriel Fernandes
Duzzioni, Eduardo I.
contents We evaluate FALQON parameter transfer for Max-Cut, transferring sequences from small donors ($n \in \{8,10,12\}$) to 14-node recipients. Using 3-regular and Erdős-Rényi families, we show that transfer success is dictated by the recipient graph, not the donor. Transfer excels for dense recipients -- achieving high approximation ratios regardless of the donor -- but remains challenging in sparse cross-family cases. Crucially, performance is highly resilient to donor size, with 8-node donors matching larger instances. Thus, cheap small graphs can provide robust parameters for larger targets, significantly reducing the measurement overhead of the feedback loop.
format Preprint
id arxiv_https___arxiv_org_abs_2605_29917
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Evaluating Parameter Transfer in FALQON Across Graph Families
Fumaco, Alisson dos Passos
Reballo, Marcos Vinicius
de Barros, Fernando Augusto Caletti
Thomaz, Gabriel Fernandes
Duzzioni, Eduardo I.
Quantum Physics
We evaluate FALQON parameter transfer for Max-Cut, transferring sequences from small donors ($n \in \{8,10,12\}$) to 14-node recipients. Using 3-regular and Erdős-Rényi families, we show that transfer success is dictated by the recipient graph, not the donor. Transfer excels for dense recipients -- achieving high approximation ratios regardless of the donor -- but remains challenging in sparse cross-family cases. Crucially, performance is highly resilient to donor size, with 8-node donors matching larger instances. Thus, cheap small graphs can provide robust parameters for larger targets, significantly reducing the measurement overhead of the feedback loop.
title Evaluating Parameter Transfer in FALQON Across Graph Families
topic Quantum Physics
url https://arxiv.org/abs/2605.29917