A "quantum" Ramsey theorem for operator systems
Operator Algebras
2016-01-14 v2 Combinatorics
Functional Analysis
Rings and Algebras
Quantum Physics
Abstract
Let V be a linear subspace of M_n(C) which contains the identity matrix and is stable under the formation of Hermitian adjoints. We prove that if n is sufficiently large then there exists a rank k orthogonal projection P such that dim(PVP) = 1 or k^2.
Cite
@article{arxiv.1601.01259,
title = {A "quantum" Ramsey theorem for operator systems},
author = {Nik Weaver},
journal= {arXiv preprint arXiv:1601.01259},
year = {2016}
}
Comments
11 pages; added a final section which includes a common generalization of the classical and quantum Ramsey theorems