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Detecting quantum phase transitions in a frustrated spin chain via transfer learning of a quantum classifier algorithm

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Autor(es):
Ferreira-Martins, Andre J. ; Silva, Leandro ; Palhares, Alberto ; Pereira, Rodrigo ; Soares-Pinto, Diogo O. ; Chaves, Rafael ; Canabarro, Askery
Número total de Autores: 7
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW A; v. 109, n. 5, p. 14-pg., 2024-05-20.
Resumo

The classification of phases and the detection of phase transitions are central and challenging tasks in diverse fields. Within physics, these rely on the identification of order parameters and the analysis of singularities in the free energy and its derivatives. Here, we propose an alternative framework to identify quantum phase transitions. Using the axial next-nearest-neighbor Ising (ANNNI) model as a benchmark, we show how machine learning can detect three phases (ferromagnetic, paramagnetic, and a cluster of the antiphase with the floating phase). Employing supervised learning, we demonstrate the feasibility of transfer learning. Specifically, a machine trained only with nearest-neighbor interactions can learn to identify a new type of phase occurring when next-nearest-neighbor interactions are introduced. We also compare the performance of common classical machine learning methods with a version of the quantum nearest neighbors (QNN) algorithm. (AU)

Processo FAPESP: 23/03562-1 - Computação quântica e aprendizado de máquina na Era NISQ
Beneficiário:Diogo de Oliveira Soares Pinto
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Brasil