Naslov
New Results on Kochen-Specker Setups

Autori
Pavičić, Mladen

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
American Physical Society March Meeting 2010 / American Physical Society - Portland (OR) : March Meeting 2010 Program Chair: David Pine, New York University ; DCMP et al., 2010, BAPS.2010.MAR.X33.6-BAPS.2010.MAR.X33.6

Skup
American Physical Society March Meeting 2010

Mjesto i datum
Portland (OR), Sjedinjene Američke Države, 15.03.2010. - 19.03.2010

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Kochen-Specker setups; hypergraphs

Sažetak
The Kochen-Specker (KS) theorem has recently been given renewed attention due to developments of both experimental and computational techniques as well as new theoretical results (more than 10 papers in Phys. Rev. Lett. in the last 10 years). We show that all possible KS setups for four-dimensional systems with 18 through 23 vectors and at least almost all with 24 vectors with component values from {;-1, 0, 1}; can be obtained by peeling vectors off a single system provided, in effect, by Asher Peres 20 years ago. We show that for 18 through 23 vectors there are no other such systems. We also show that there is number of systems with 18 through 24 vectors with component values that are not from {;-1, 0, 1};. We present algorithms and computer programs that we used to generate all the aforementioned KS setups and we give their analytical, graphical, and statistical representation.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA