Machine Learning by Adiabatic Evolutionary Quantum System

Fuente: arXiv
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Autor principal: Yamakami, Tomoyuki
Formato: Preprint
Publicado: 2025
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author Yamakami, Tomoyuki
author_facet Yamakami, Tomoyuki
contents A computational model of adiabatic evolutionary quantum system (or AEQS, pronounced "eeh-ks") was introduced in [Yamakami,2022] as a sort of quantum annealing and its underlying input-driven Hamiltonians are generated quantum-algorithmically by various forms of quantum automata families (including 1qqaf's). We study an efficient way to accomplish certain machine learning tasks by training these AEQSs quantumly. When AEQSs are controlled by 1qqaf's, it suffices in essence to find an optimal 1qqaf that approximately solves a target relational problem. For this purpose, we develop a basic idea of approximately utilizing well-known quantum algorithms for quantum counting, quantum amplitude estimation, and quantum approximation. We then provide a rough estimation of the efficiency of our quantum learning algorithms for AEQSs.
format Preprint
id arxiv_https___arxiv_org_abs_2511_18496
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Machine Learning by Adiabatic Evolutionary Quantum System
Yamakami, Tomoyuki
Quantum Physics
A computational model of adiabatic evolutionary quantum system (or AEQS, pronounced "eeh-ks") was introduced in [Yamakami,2022] as a sort of quantum annealing and its underlying input-driven Hamiltonians are generated quantum-algorithmically by various forms of quantum automata families (including 1qqaf's). We study an efficient way to accomplish certain machine learning tasks by training these AEQSs quantumly. When AEQSs are controlled by 1qqaf's, it suffices in essence to find an optimal 1qqaf that approximately solves a target relational problem. For this purpose, we develop a basic idea of approximately utilizing well-known quantum algorithms for quantum counting, quantum amplitude estimation, and quantum approximation. We then provide a rough estimation of the efficiency of our quantum learning algorithms for AEQSs.
title Machine Learning by Adiabatic Evolutionary Quantum System
topic Quantum Physics
url https://arxiv.org/abs/2511.18496