2024/01/13 by Pierre-Antoine Bernard, Nicolas Crampé, Bernard, Pierre-Antoine +7 · 2 citations
Chemistry · Computer Science · Mathematics · #05E30 #81P40 #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2401.07150
openalex publication_date 2024/01/13 · openalex created_date 2024/01/19 · openalex updated_date 2026/07/28
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 P-polynomial association schemes is seen to yield a simplifying framework.