- Letter
Automated generation of arbitrarily many Kochen-Specker and other contextual sets in odd-dimensional Hilbert spaces
Phys. Rev. A 106, L060203 – Published 27 December, 2022
DOI: https://doi.org/10.1103/PhysRevA.106.L060203
Abstract
The development of quantum computation and communication, recently shown to be supported by contextuality, arguably asks for a requisite supply of contextual sets. While that has been achieved in even-dimensional spaces, in odd-dimensional spaces only a dozen contextual critical Kochen-Specker (KS) sets have been found so far. In this Letter, we give three methods for the automated generation of arbitrarily many contextual KS and non-KS sets in any dimension for possible future application and implementation, and we employ them to obtain millions of KS and other contextual sets in dimensions 3, 5, 7, and 9 where previously only a handful of sets have been found. Also, we generate explicit vectors for the original Kochen-Specker set from 24 vector components.
