Quantum Computers, Discrete Space, and Entanglement (CROSBI ID 488328)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Pavičić, Mladen.
engleski
Quantum Computers, Discrete Space, and Entanglement
We consider algebras underlying Hilbert spaces used by quantum information algorithms. We show how one can arrive at equations on such algebras which define n-dimensional Hilbert space subspaces which in turn can simulate quantum systems on a quantum system. In doing so we use MMP diagrams and linear algorithms. MMP diagrams are tractable since an n block of an MMP diagram has n elements while an n block of a standard Greechie diagram has 2^n elements. An immediate test for such an approach is a generation of minimal and arbitrary Kochen-Specker vectors and we present a minimal n > 5 state-independent Kochen-Specker set of seven vectors.
MMP diagrams; Hilbert lattices; Kochen-Specker theorem
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Podaci o prilogu
65-70-x.
2002.
objavljeno
Podaci o matičnoj publikaciji
Callaos, Nagib ; He, Yigaang ; Perez-Peraza, Jorge A.
Orlando (FL): International Institute of Informatics and Systemics
Podaci o skupu
SCI 2002, The 6th World Multiconference on Systemics, Cybernetics, and Informatics,
predavanje
14.07.2002-18.07.2002
Orlando (FL), Sjedinjene Američke Države