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Proceedings Paper

Quantum logic for genuine quantum simulators
Author(s): Mladen Pavicic
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Paper Abstract

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 state, 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.

Paper Details

Date Published: 13 July 2000
PDF: 7 pages
Proc. SPIE 4047, Quantum Computing, (13 July 2000); doi: 10.1117/12.391957
Show Author Affiliations
Mladen Pavicic, Univ. of Maryland/Baltimore County and Univ. of Zagreb (United States)

Published in SPIE Proceedings Vol. 4047:
Quantum Computing
Eric Donkor; Andrew R. Pirich, Editor(s)

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