Alternatives to a nonhomogeneous partial differential equation quantum algorithm

Autor(es)

Ricardo, Alexandre C. ; Fernandes, Gabriel P. L. M. ; Duzzioni, Eduardo I. ; Campo, Vivaldo L. ; Villas-Boas, Celso J.

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW A; v. 106, n. 5, p. 10-pg., 2022-11-28.

Resumo

Recently, J. M. Arrazola et al. [Phys. Rev. A 100, 032306 (2019)] proposed a quantum algorithm for solving nonhomogeneous linear partial differential equations of the form A1r (r) = f (r). Its nonhomogeneous solution is obtained by inverting the operator A<SIC> along with the preparation and measurement of special ancillary modes. In this work we suggest modifications in its structure to reduce the costs of preparing the initial ancillary states and improve the precision of the algorithm for semidefinite operators. These achievements enable easier experimental implementation of the quantum algorithm. (AU)

• Processo FAPESP: 19/11999-5 - Efeitos coletivos em sistemas atômicos, spins nucleares e eletrodinâmica quântica de cavidades
• Beneficiário: Celso Jorge Villas-Bôas
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 19/13143-0 - Átomos frios, fótons, e correlações quânticas
• Beneficiário: Celso Jorge Villas-Bôas
• Modalidade de apoio: Auxílio à Pesquisa - Regular