Kochen-Specker sets in four-dimensional spaces
Combinatorics
2024-11-15 v3 Quantum Physics
Abstract
For the first time we construct an infinite family of Kochen-Specker sets in a space of fixed dimension, namely in R^4. While most of the previous constructions of Kochen-Specker sets have been based on computer search, our construction is analytical and it comes with a short, computer-free proof.
Keywords
Cite
@article{arxiv.1905.09443,
title = {Kochen-Specker sets in four-dimensional spaces},
author = {Brandon Elford and Petr Lisonek},
journal= {arXiv preprint arXiv:1905.09443},
year = {2024}
}
Comments
14 pages. This version significantly extends the paper by adding two new sections, which contain further information on the new KS set construction and links with previously found KS set examples, as well as a numerical example for our new construction