Quantum Fourier analysis for multivariate functions and applications to a class of Schrodinger-type partial differential equations
Authors: Garcia-Molina, Paula; Rodriguez-Mediavilla, Javier; Jose Garcia-Ripoll, Juan Journal: PHYSICAL REVIEW A Publication date: 2022/01/31 DOI: 10.1103/PhysRevA.105.012433 Abstract: In this work we develop a highly efficient representation of functions and differential operators based on Fourier analysis. Using this representation, we create a variational hybrid quantum algorithm to solve static, Schrodinger-type, Hamiltonian partial differential equations (PDEs), [...]