Naslov
Quantum Logic for Genuine Quantum Simulators

Autori
Pavičić, Mladen

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Quantum Computing, 26-27 April 2000, Orlando, USA, Proceedings of SPIE Vol. 4047 / Donkor, Erik ; Pirich, Andrew R. - Bellingham (WA) : SPIE, 2000, 90-96

Skup
Quantum Computing

Mjesto i datum
Orlando (FL), Sjedinjene Američke Države, 26.04.2000. - 27.04.2000

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
quantum computation; Hilbert space; Hilbert lattice; orthoarguesian property; quantum logic

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA