Pregled bibliografske jedinice broj: 470184
Kochen-Specker Sets and Generalized Orthoarguesian Equations
Kochen-Specker Sets and Generalized Orthoarguesian Equations // Annales henri poincare, 12 (2011), 7; 1417-1429 doi:10.1007/s00023-011-0109-0 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 470184 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Kochen-Specker Sets and Generalized Orthoarguesian Equations
Autori
Megill, Norman D. ; Pavičić, Mladen
Izvornik
Annales henri poincare (1424-0637) 12
(2011), 7;
1417-1429
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert space; Hilbert lattice; generalized orthoarguesian equations; Kochen-Specker sets
Sažetak
Every set (finite or infinite) of quantum vectors (states) satisfies generalized orthoarguesian equations ($n$OA). We consider two 3-dim Kochen-Specker (KS) sets of vectors and show how each of them should be represented by means of a Hasse diagram--- a lattice, an algebra of subspaces of a Hilbert space--that contains rays and planes determined by the vectors so as to satisfy $n$OA. That also shows why they cannot be represented by a special kind of Hasse diagram called a Greechie diagram, as has been erroneously done in the literature. One of the KS sets (Peres') is an example of a lattice in which 6OA pass and 7OA fails, and that closes an open question of whether the 7oa class of lattices properly contains the 6oa class. This result is important because it provides additional evidence that our previously given proof of noa =< (n+1)oa can be extended to proper inclusion noa < (n+1)oa and that nOA form an infinite sequence of successively stronger equations.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
POVEZANOST RADA
Projekti:
082-0982562-3160 - Kvantno računanje: paralelnost i vizualizacija (Pavičić, Mladen, MZOS ) ( CroRIS)
Ustanove:
Građevinski fakultet, Zagreb
Profili:
Mladen Pavičić
(autor)
Poveznice na cjeloviti tekst rada:
Pristup cjelovitom tekstu rada doi www.springerlink.com arxiv.orgCitiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
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