Naslov
Automated generation of arbitrarily many Kochen-Specker and other contextual sets in odd-dimensional Hilbert spaces

Autori
Pavičić, Mladen ; Megill, Norman D.

Izvornik
Physical review. A (2469-9926) 106 (2022); L060203, 5

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, pismo, znanstveni

Ključne riječi
quantum contextuality, contextual sets, MMP hypergraphs, noncontextuality inequalities, Kochen-Specker sets

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA