7 citations · 8 across the 6 of their papers we have counts for
3 papers · 1 filter
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…