A generalized infinite quantum Ramsey theorem for operator systems
Combinatorics
2026-04-30 v1 Functional Analysis
Operator Algebras
Quantum Algebra
Abstract
We prove a generalization of the infinite quantum Ramsey theorem of Kennedy et al. (arXiv:1711.09526), showing that it follows from an archetypical "selective" pattern satisfied by certain families of projections in an infinite-dimensional Hilbert space.
Cite
@article{arxiv.2604.26894,
title = {A generalized infinite quantum Ramsey theorem for operator systems},
author = {José G. Mijares},
journal= {arXiv preprint arXiv:2604.26894},
year = {2026}
}
Comments
9 pages