Rado's Graph has no Quantum Symmetry

TL;DR

This paper proves that Rado's graph, a well-known universal graph, does not possess any quantum symmetries, establishing a fundamental limitation in the symmetry properties of this structure.

Contribution

The paper demonstrates that Rado's graph has no quantum symmetries, a novel result linking classical and quantum symmetry concepts in graph theory.

Findings

Rado's graph admits no quantum symmetries

Quantum symmetry groups of Rado's graph are trivial

Establishes a connection between classical and quantum automorphisms

Abstract

We prove that Rado's graph admits no quantum symmetries.