7 citations · 8 across the 6 of their papers we have counts for
6 papers
Renormalization flows for 1D mixed states and a quantum Goursat lemma
Léo Le-Nestour, David Pérez-García, Alberto Ruiz-de-Alarcón
Renormalization provides a framework for relating microscopic models of physical systems to effective descriptions at larger length scales. This procedure is studied for the bounda…
Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay
Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández
Starting from an arbitrary full-rank state of a lattice quantum spin system, we define a "canonical purified Hamiltonian" and characterize its spectral gap in terms of a spatial mi…
Parent Lindbladians for Matrix Product Density Operators
Yuhan Liu, Alberto Ruiz-de-Alarcón, Georgios Styliaris +3
Understanding quantum phases of matter is a fundamental goal in physics. For pure states, the representatives of phases are the ground states of locally interacting Hamiltonians, w…
Tensorization of neural networks for improved privacy and interpretability
José Ramón Pareja Monturiol, Alejandro Pozas-Kerstjens, David Pérez-García
We present a tensorization algorithm for constructing tensor train/matrix product state (MPS) representations of functions, drawing on sketching and cross interpolation ideas. The…
The product structure of MPS-under-permutations
Marta Florido-Llinàs, Álvaro M. Alhambra, Rahul Trivedi +3
Tensor network methods have proved to be highly effective in addressing a wide variety of physical scenarios, including those lacking an intrinsic one-dimensional geometry. In such…
Undecidability in Physics: a Review
Álvaro Perales-Eceiza, Toby Cubitt, Mile Gu +2
The study of undecidability in problems arising from physics has experienced a renewed interest, mainly in connection with quantum information problems. The goal of this review is…