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arXiv · 2401.07150

Entanglement of free-fermion systems, signal processing and algebraic combinatorics

Pierre-Antoine Bernard·Nicolas Crampé·Rafael I. Nepomechie·Gilles Parez·Luc Vinet
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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 $P$-polynomial association schemes is seen to yield a simplifying framework.

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Pierre-Antoine Bernard, Nicolas Crampé, Rafael I. Nepomechie, Gilles Parez, Luc Vinet. 2024-01-13. Entanglement of free-fermion systems, signal processing and algebraic combinatorics. https://doi.org/10.1007/978-3-031-91266-5_23

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