Naslov
Vector generation of contextual sets

Autori
Pavičić, Mladen ; Megill, Norman D.

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
EPJ Web of Conferences 198 (2019) Quantum Technology International Conference 2018 (QTech 2018) / Mogilevtsev, D. - Pariz : The European Physical Journal (EPJ) Web of Conferences, 2019

Skup
Quantum Technology International Conference 2018 (QTech 2018)

Mjesto i datum
Pariz, Francuska, 05.09.2018. - 07.09.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
quantum contextuality ; Kochen–Specker sets ; MMP hypergraphs ;

Sažetak
As quantum contextuality proves to be a necessary resource for universal quantum computation, we present a general method for vector generation of Kochen-Specker (KS) contextual sets in the form of hypergraphs. The method supersedes all three previous methods: (i) fortuitous discoveries of smallest KS sets, (ii) exhaustive upward hypergraph-generation of sets, and (iii) random downward generation of sets from fortuitously obtained big master sets. In contrast to previous works, we can generate master sets which contain all possible KS sets starting with nothing but a few simple vector components. From them we can readily generate all KS sets obtained in the last half a century and any specified new KS sets. Herewith we can generate sufficiently large sets as well as sets with definite required features and structures to enable varieties of different implementations in quantum computation and communication.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

Napomena
Bilateralna kolaboracija

POVEZANOST RADA