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Alternatives to a nonhomogeneous partial differential equation quantum algorithm

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Author(s):
Ricardo, Alexandre C. ; Fernandes, Gabriel P. L. M. ; Duzzioni, Eduardo I. ; Campo, Vivaldo L. ; Villas-Boas, Celso J.
Total Authors: 5
Document type: Journal article
Source: PHYSICAL REVIEW A; v. 106, n. 5, p. 10-pg., 2022-11-28.
Abstract

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)

FAPESP's process: 19/11999-5 - Collective effects on atomic systems, nuclear spins and cavity quantum electrodynamics
Grantee:Celso Jorge Villas-Bôas
Support Opportunities: Regular Research Grants
FAPESP's process: 19/13143-0 - Cold atoms, photons, and quantum correlations
Grantee:Celso Jorge Villas-Bôas
Support Opportunities: Regular Research Grants