Naslov
Hilbert Lattice Equations

Autori
Megill, Norman D. ; Pavičić, Mladen

Izvornik
Annales Henri Poincare (1424-0637) 10 (2010), 7; 1335-1358

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

Ključne riječi
Hilbert space ; Hilbert lattice ; strong state ; quantum logic ; quantum computation ; generalised orthoarguesian equations ; Godowski equations ; Mayet-Godowski equations ; orthomodular lattice

Sažetak
There are five known classes of lattice equations that hold in every infinite dimensional Hilbert space underlying quantum systems: generalised orthoarguesian, Mayet's E_A, Godowski, Mayet-Godowski, and Mayet's E equations. We obtain a result which opens a possibility that the first two classes coincide. We devise new algorithms to generate Mayet-Godowski equations that allow us to prove that the fourth class properly includes the third. An open problem related to the last class is answered. Finally, we show some new results on the Godowski lattices characterising the third class of equations.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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