caa a22 4500 463196899 CHVBK 20180406164925.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10773-006-9254-5 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9254-5 Selesnick S. Physics and Astronomy, University of Missouri St. Louis, 63121, St. Louis, Missouri, USA aut Foundation for Quantum Computing II [Elektronische Daten] [S. Selesnick] In this continuation of an earlier paper we develop further the theme of quantum logical specification and derive from it some apparently physically viable instantiations of potential quantum computing devices. Specifically, in the case of a one-parameter set of terms (or labels)—read as instants of time—we find, emerging quite naturally from the algebraic setup, the paradigm for a single qubit epitomized by the case of a two-state fermion interacting with an external single mode boson. This covers the cases: cavity QED, trapped ions, and, when the qubits are multiplexed appropriately, NMR based systems. (This case degenerates to one in which only bosons are relevant as in the case of pure bosonic harmonic oscillator models in the "dual rail” representation. Such models fly in the face of the logic itself, thus clearly revealing even at this level their well-known shortcomings as practical quantum computing devices. Here as elsewhere logical constraints apparently dominate physical ones.) In a final section we indicate briefly how this process exactly generalizes, in the case of a manifold of terms more general than the one-parameter case, to yield the notion of holonomic quantum computation. In the course of this investigation we find an interpretation of path integrals as limits of sequences of logical CUTS, thus establishing a link—though still tenuous—between ensembles of acts of quantum computation and Lagrangians. Springer Science+Business Media, LLC, 2006 quantum computing nationallicence quantum logic nationallicence mathematical logic nationallicence International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/4(2007-04-01), 984-1002 0020-7748 46:4<984 2007 46 10773 https://doi.org/10.1007/s10773-006-9254-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9254-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Selesnick S. Physics and Astronomy, University of Missouri St. Louis, 63121, St. Louis, Missouri, USA aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/4(2007-04-01), 984-1002 0020-7748 46:4<984 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer