Tropical Contraction of Tensor Networks as a Bell Inequality Optimization Toolset
Abstract
We show that finding the classical bound of broad families of Bell inequalities can be naturally framed as the contraction of an associated tensor network, but in tropical algebra, where the sum is replaced by the minimum and the product is replaced by the arithmetic addition. We illustrate our method with paradigmatic examples both in the multipartite scenario and the bipartite scenario with multiple outcomes. We showcase how the method extends into the thermodynamic limit for some translationally invariant systems and establish a connection between the notions of tropical eigenvalue and the classical bound per particle as a fixed point of a tropical renormalization procedure.
Fields of Study & Subjects
Tensor decomposition and applications
Polynomial and algebraic computation
Matrix Theory and Algorithms
Publication details
- Journal / source
- Physical Review Letters
- Volume
- 136
- Issue
- 10
- Pages
- 100202–100202
- Publication date
- 9 January 2026
- Language
- EN