5 papers
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…
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…
Deterministic multipartite entanglement via fractional state transfer across quantum networks
G. F. Peñas, J. -J. GarcÃa-Ripoll, R. Puebla
The generation of entanglement across different nodes in distributed quantum architectures plays a pivotal role for different applications. In particular, deterministic, robust, an…
Learning Generalized Statistical Mechanics with Matrix Product States
Pablo DÃez-Valle, Fernando MartÃnez-GarcÃa, Juan José GarcÃa-Ripoll +1
We introduce a variational algorithm based on Matrix Product States that is trained by minimizing a generalized free energy defined using Tsallis entropy instead of the standard Gi…
Multiplexed quantum state transfer in waveguides
Guillermo F. Peñas, Ricardo Puebla, Juan José GarcÃa-Ripoll
In this article, we consider a realistic waveguide implementation of a quantum network that serves as a testbed to show how to maximize the storage and manipulation of quantum info…