Hilbert Lattice Equations (CROSBI ID 153214)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Megill, Norman D. ; Pavičić, Mladen
engleski
Hilbert Lattice Equations
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.
Hilbert space ; Hilbert lattice ; strong state ; quantum logic ; quantum computation ; generalised orthoarguesian equations ; Godowski equations ; Mayet-Godowski equations ; orthomodular lattice
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Podaci o izdanju
10 (7)
2010.
1335-1358
objavljeno
1424-0637
1424-0661
10.1007/s00023-009-0019-6