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Optimized continuous dynamical decoupling via differential geometry and machine learning

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Autor(es):
da Costa Morazotti, Nicolas Andre ; da Silva, Adonai Hilario ; Audi, Gabriel ; Fanchini, Felipe Fernandes ; de Jesus Napolitano, Reginaldo
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW A; v. 110, n. 4, p. 14-pg., 2024-10-01.
Resumo

We introduce a strategy to develop optimally designed fields for continuous dynamical decoupling. Using our methodology, we obtain the optimal continuous field configuration to maximize the fidelity of a general one-qubit quantum gate. To achieve this, considering dephasing-noise perturbations, we employ an auxiliary qubit instead of the boson bath to implement a purification scheme, which results in unitary dynamics. Employing the sub-Riemannian geometry framework for the two-qubit unitary group, we derive and numerically solve the geodesic equations, obtaining the optimal time-dependent control Hamiltonian. Also, due to the extended time required to find solutions to the geodesic equations, we train a neural network on a subset of geodesic solutions, enabling us to promptly generate the time-dependent control Hamiltonian for any desired gate, which is crucial in circuit optimization. (AU)

Processo FAPESP: 18/00796-3 - Processamento de Informação Quântica sob os Auspícios do Formalismo da Matriz de Espalhamento
Beneficiário:Reginaldo de Jesus Napolitano
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 23/04987-6 - Otimização e aprendizado de máquina quântico: algoritmos variacionais e aplicações
Beneficiário:Felipe Fernandes Fanchini
Modalidade de apoio: Auxílio à Pesquisa - Regular