3 papers
cond-mat.quant-gas2025
Quantics Tensor Train for solving Gross-Pitaevskii equation
Aleix Bou-Comas, Marcin PÅodzieÅ, 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…
quant-ph2025
Chebyshev approximation and composition of functions in matrix product states for quantum-inspired numerical analysis
Juan José RodrÃguez-Aldavero, Paula GarcÃa-Molina, Luca Tagliacozzo +1
This work explores the representation of univariate and multivariate functions as matrix product states (MPS), also known as quantized tensor-trains (QTT). It proposes an algorithm…
quant-ph2025
Pseudospectral method for solving PDEs using Matrix Product States
Jorge Gidi, Paula GarcÃa-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…