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20212026
most citedQuantum Fourier analysis for multivariate functions and applications to a class of Schrödinger-type partial differential equations

23 citations · 41 across the 6 of their papers we have counts for

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Showing 2024 · quant-phShow all

2 papers · 2 filters

quant-ph2024★ 1 cited

Pseudospectral method for solving PDEs using Matrix Product States

Jorge Gidi, Paula García-Molina, Luca Tagliacozzo +1

This research focuses on solving time-dependent partial differential equations (PDEs), in particular the time-dependent Schrödinger equation, using matrix product states (MPS). We…

quant-ph2024

Approximation and composition of functions in quantized tensor trains via orthogonal polynomial expansions

Juan José Rodríguez-Aldavero, Paula García-Molina, Luca Tagliacozzo +1

This work explores the representation of univariate and multivariate functions as quantized tensor trains (QTT). It develops a constructive algorithm that employs expansions in ort…