Quantum Logic for Genuine Quantum Simulators (CROSBI ID 476617)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Pavičić, Mladen
engleski
Quantum Logic for Genuine Quantum Simulators
Recently we proved that there are two non-isomorphic models of the calculus of quantum logic corresponding to an infinite-dimensional Hilbert space representation: an orthomodular lattice and a weakly orthomodular lattice. We also discovered that there are two non-isomorphic models of the calculus of classical logic: a distributive lattice (Boolean algebra) and a weakly distributive lattice. In this work we consider implications of these results to a quantum simulator which should mimic quantum systems by giving precise instructions on how to produce input states, how to evolve them, and how to read off the final states. We analyze which conditions quantum states of a quantum computer currently obey and which they should obey in order to enable full quantum computing, i.e., proper quantum mathematics. In particular we find several new conditions which lattices of Hilbert space subspaces must satisfy.
quantum computation; Hilbert space; Hilbert lattice; orthoarguesian property; quantum logic
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o prilogu
90-96-x.
2000.
objavljeno
Podaci o matičnoj publikaciji
Donkor, Erik ; Pirich, Andrew R.
Bellingham (WA): SPIE
Podaci o skupu
Quantum Computing
predavanje
26.04.2000-27.04.2000
Orlando (FL), Sjedinjene Američke Države