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Continuous-variable quantum computing on a trapped ion: neural network applications

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Autor(es):
Ricardo, Alexandre C. ; de Lima, Gubio G. ; Valerio, Amanda G. ; Farias, Tiago de S. ; Villas-Boas, Celso J.
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: PHYSICA SCRIPTA; v. 100, n. 12, p. 12-pg., 2025-12-01.
Resumo

Continuous-variable quantum computing (CVQC) uses quantum states with continuous degrees of freedom, such as the quadratures of bosonic modes, to encode information, promising efficient solutions to complex problems. Trapped-ion systems provide a robust platform with long coherence times and precise qubit control, enabling the manipulation of quantum information through its motional and electronic degrees of freedom. In this theoretical work, we quantitatively analyze the fidelity of a Kerr operation in a single trapped-ion system, calibrating the interaction time using a motional-state Rabi frequency correction. Through numerical simulations, we validate Gaussian and non-Gaussian CVQC operations, achieving fidelities exceeding 99% in all cases, including non-Gaussian operations. Furthermore, we demonstrate two key applications: first, the implementation of a continuous-variable quantum neural network for regression problems, which exhibits low error rates; and second, its application to state preparation tasks, achieving a fidelity of 90% for the given example. These results open new opportunities to execute quantum computing algorithms on continuous variables with trapped ions, such as quantum machine learning algorithms. (AU)

Processo FAPESP: 22/00209-6 - Tecnologias quânticas de segunda geração
Beneficiário:Celso Jorge Villas-Bôas
Modalidade de apoio: Auxílio à Pesquisa - Temático
Processo FAPESP: 23/14831-3 - Solução de Problemas de Otimização em Computadores Quânticos de Íons Aprisionados
Beneficiário:Celso Jorge Villas-Bôas
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 23/15739-3 - Algoritmos Quânticos para Resolução de Problemas Complexos e Aplicações Comerciais
Beneficiário:Tiago de Souza Farias
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado