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2016-10Author
Vourdas, ApostolosKeyword
Coherence; Boolean rings; GatesRights
(c) 2016 Elsevier, Inc. Reproduced in accordance with the publisher's self-archiving policy. This manuscript version is made available under the CC-BY-NC-ND 4.0 license (http://creativecommons.org/licenses/by-nc-nd/4.0/).Peer-Reviewed
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Coherent spaces spanned by a nite number of coherent states, are introduced. Their coherence properties are studied, using the Dirac contour representation. It is shown that the corresponding projectors resolve the identity, and that they transform into projectors of the same type, under displacement transformations, and also under time evolution. The set of these spaces, with the logical OR and AND operations is a distributive lattice, and with the logical XOR and AND operations is a Boolean ring (Stone's formalism). Applications of this Boolean ring into classical CNOT gates with n-ary variables, and also quantum CNOT gates with coherent states, are discussed.Version
Accepted ManuscriptCitation
Vourdas A (2016) Coherent spaces, Boolean rings and quantum gates. Annals of Physics. 373: 557-580.Link to Version of Record
https://doi.org/10.1016/j.aop.2016.07.034Type
Articleae974a485f413a2113503eed53cd6c53
https://doi.org/10.1016/j.aop.2016.07.034