1 citations · 1 across the 2 of their papers we have counts for
3 papers
Quantics Tensor Train for solving Gross-Pitaevskii equation
Aleix Bou-Comas, Marcin Płodzień, Luca Tagliacozzo +1
We present a quantum-inspired solver for the one-dimensional Gross-Pitaevskii equation in the Quantics Tensor-Train (QTT) representation. By evolving the system entirely within a l…
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…
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…