Naslov
New Algorithms for Generating Arbitrary Kochen-Specker Sets

Autori
Megill, Norman D. ; Pavičić, Mladen

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

Izvornik
Bulletin of the American Physical Society, APS March Meeting 2012, Volume 57, Number 1 / - Boston (MA) : American Physical Society, 2012, Z30.00011-Z30.00011

Skup
APS March Meeting 2012 February 27–March 2 2012 ; Boston, Massachusetts

Mjesto i datum
Boston (MA), Sjedinjene Američke Države, 27.02.2012. - 02.03.2012

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
contextuality; MMP hypergraphs; Kochen-Specker sets

Sažetak
The Kochen-Specker KS) sets (constructive proofs of quantum contextuality) have recently obtained a special significance as building blocks of quantum information protocols since quantum contextuality was revealed as property complementary to nonlocality and entanglement. [A. Cabello, Phys. Rev. Lett., 220401 (2010).] Thus, generating arbitrary KS sets becomes as needed as generating Bell states and this has been enabled by recent findings of a vast amount (>1020) of new KS sets - we call them a ``KS sea.'' [N.D. Megill, K. Fresl, M. Waegell, P.K. Aravind, and M. Pavičić, Phys. Lett. A, 375, 3419 (2011) ; M. Waegell and P.K. Aravind, J. Phys. A [to appear] (2011).] Here we present our newest algorithms and computer programs which enable us to obtain any desired KS set from the KS sea in a very short time without ever making a complete data base of KS sets- --which would be an impossible task anyhow. This was made possible with the help of our representation of the KS sea as well as individual KS sets by means of MMP hypergraphs.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA