Cover Image

Pseudospectral method for solving PDEs using Matrix Product States

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gidi, Jorge, García-Molina, Paula, Tagliacozzo, Luca, García-Ripoll, Juan José
Format:	Preprint
Published:	2024
Subjects:	Quantum Physics Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

SeeMPS: A Python-based Matrix Product State and Tensor Train Library
by: García-Molina, Paula, et al.
Published: (2026)

Chebyshev approximation and composition of functions in matrix product states for quantum-inspired numerical analysis
by: Rodríguez-Aldavero, Juan José, et al.
Published: (2024)

Comparative study of matrix product state/quantized tensor-train algorithms for solving time-independent partial differential equations
by: García-Molina, Paula, et al.
Published: (2023)

High-Resolution Tensor-Network Fourier Methods for Exponentially Compressed Non-Gaussian Aggregate Distributions
by: Rodríguez-Aldavero, Juan José, et al.
Published: (2026)

A Quantum Spectral Framework for Solving PDEs
by: Huang, Chih-Kang, et al.
Published: (2026)

Sign Embedding Quantum Algorithms for Matrix Equations and Matrix Functions
by: Wang, Yanqiao, et al.
Published: (2026)

Classical combinations of quantum states for solving banded circulant linear systems
by: Huang, Po-Wei, et al.
Published: (2023)

Quantum medical image encoding and compression using Fourier-based methods
by: Ko, Taehee, et al.
Published: (2025)

Sketch Tomography: Hybridizing Classical Shadow and Matrix Product State
by: Tang, Xun, et al.
Published: (2025)

Approximate Contraction of Arbitrary Tensor Networks with a Flexible and Efficient Density Matrix Algorithm
by: Ma, Linjian, et al.
Published: (2024)

An inexact Matrix-Newton method for solving NEPv
by: Werner, Tom
Published: (2023)

Error bounds for splitting methods in unitary problems
by: Casas, Fernando, et al.
Published: (2026)

Gauss Newton method for solving variational problems of PDEs with neural network discretizaitons
by: Hao, Wenrui, et al.
Published: (2023)

Quantum random power method for ground state computation
by: Ko, Taehee, et al.
Published: (2024)

On the Schrödingerization method for linear non-unitary dynamics with optimal dependence on matrix queries
by: Jin, Shi, et al.
Published: (2025)

Recursive Sketched Interpolation: Efficient Hadamard Products of Tensor Trains
by: Meng, Zhaonan, et al.
Published: (2026)

On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
by: Xu, Zhi-Qin John, et al.
Published: (2025)

Landscape Analysis of Excited States Calculation over Quantum Computers
by: Chen, Hengzhun, et al.
Published: (2025)

Second-order discretization of Dyson series: iterative method, numerical analysis and applications in open quantum systems
by: Cai, Zhenning, et al.
Published: (2025)

Block encoding of sparse matrices with a periodic diagonal structure
by: Zecchi, Alessandro Andrea, et al.
Published: (2026)

On the Majorana solution to the Thomas-Fermi equation
by: Fernández, Francisco M., et al.
Published: (2021)

Analytic and Stochastic Approach to Quantum Advantages in Ground State and Quantum State Preparation Problems
by: Ko, Taehee, et al.
Published: (2025)

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things
by: Gnanasekaran, Abeynaya, et al.
Published: (2025)

Quantics Tensor Train for solving Gross-Pitaevskii equation
by: Bou-Comas, Aleix, et al.
Published: (2025)

Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs
by: Xu, Zhihang, et al.
Published: (2025)

An efficient stochastic particle method for high-dimensional nonlinear PDEs
by: Lei, Zhengyang, et al.
Published: (2023)

Incompressible Navier-Stokes solve on noisy quantum hardware via a hybrid quantum-classical scheme
by: Song, Zhixin, et al.
Published: (2024)

Multi-level quantum signal processing with applications to ground state preparation using fast-forwarded Hamiltonian evolution
by: Dong, Yulong, et al.
Published: (2024)

High-Order Hermite Optimization: Fast and Exact Gradient Computation in Open-Loop Quantum Optimal Control using a Discrete Adjoint Approach
by: Lee, Spencer, et al.
Published: (2025)

EWS time delay in low energy e C60 elastic scattering
by: R., Aiswarya, et al.
Published: (2024)

An alternating learning-based collocation method for solving inverse elliptic problems
by: Kong, Zhizhong, et al.
Published: (2026)

Functional tensor train neural network for solving high-dimensional PDEs
by: Feng, Yani, et al.
Published: (2025)

Enhancing Scalability of Quantum Eigenvalue Transformation of Unitary Matrices for Ground State Preparation through Adaptive Finer Filtering
by: Karacan, Erenay, et al.
Published: (2024)

Tensorization of neural networks for improved privacy and interpretability
by: Monturiol, José Ramón Pareja, et al.
Published: (2025)

Generalized Pseudospectral Shattering and Inverse-Free Matrix Pencil Diagonalization
by: Demmel, James, et al.
Published: (2023)

A nonlinear system related to investment under uncertainty solved using the fractional pseudo-Newton method
by: Torres-Hernandez, A., et al.
Published: (2020)

NIPG-DG schemes for transformed master equations modeling open quantum systems
by: Escalante, Jose A. Morales
Published: (2023)

A stable and fast method for solving multibody scattering problems via the method of fundamental solutions
by: Cai, Yunhui, et al.
Published: (2026)

A volume penalization method for solving conjugate scalar transport with interfacial jump conditions
by: Liu, Ming, et al.
Published: (2026)

A multi-mesh adaptive finite element method for solving the Gross-Pitaevskii equation
by: Li, Mingzhe, et al.
Published: (2026)