The Golay codes and Quantum Contextuality

TL;DR

This paper demonstrates how Golay codes can be transformed into geometric configurations that serve as proofs of the Kochen-Specker theorem, linking coding theory with quantum contextuality in specific real state spaces.

Contribution

It introduces a novel method of deriving Kochen-Specker proofs from Golay codes, connecting coding theory and quantum foundations in new ways.

Findings

Golay codewords can be converted into rays in real projective spaces

These rays provide proofs of the Kochen-Specker theorem

Implications for quantum contextuality are discussed

Abstract

It is shown that the codewords of the binary and ternary Golay codes can be converted into rays in RP(23) and RP(11) that provide proofs of the Kochen-Specker theorem in real state spaces of dimension 24 and 12, respectively. Some implications of these results are discussed.