Entanglement of free-fermion systems, signal processing and algebraic combinatorics
Abstract
This paper offers a review of recent studies on the entanglement of free-fermion systems on graphs that take advantage of methods pertaining to signal processing and algebraic combinatorics. On the one hand, a parallel with time and band limiting problems is used to obtain a tridiagonal matrix commuting with the chopped correlation matrix in bispectral situations and on the other, the irreducible decomposition of the Terwilliger algebra arising in the context of -polynomial association schemes is seen to yield a simplifying framework.
Keywords
Cite
@article{arxiv.2401.07150,
title = {Entanglement of free-fermion systems, signal processing and algebraic combinatorics},
author = {Pierre-Antoine Bernard and Nicolas Crampé and Rafael I. Nepomechie and Gilles Parez and Luc Vinet},
journal= {arXiv preprint arXiv:2401.07150},
year = {2024}
}
Comments
11 pages; This paper is based on the presentation made by Luc Vinet at Gravity, Strings and Fields: A conference in honour of Gordon Semenoff organized by the CRM. v2: Minor modifications to match the published version