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dc.contributor.authorVourdas, Apostolos*
dc.date.accessioned2016-08-11T13:15:39Z
dc.date.available2016-08-11T13:15:39Z
dc.date.issued2016-10
dc.identifier.citationVourdas A (2016) Coherent spaces, Boolean rings and quantum gates. Annals of Physics. 373: 557-580.en_US
dc.identifier.urihttp://hdl.handle.net/10454/8775
dc.descriptionYesen_US
dc.description.abstractCoherent 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.en_US
dc.language.isoenen_US
dc.relation.isreferencedbyhttp://dx.doi.org/10.1016/j.aop.2016.07.034en_US
dc.rights(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/).en_US
dc.subjectCoherence; Boolean rings; Gatesen_US
dc.titleCoherent spaces, Boolean rings and quantum gatesen_US
dc.status.refereedYesen_US
dc.date.Accepted2016-07-26
dc.typeArticleen_US
dc.type.versionAccepted Manuscripten_US
refterms.dateFOA2018-07-25T15:25:16Z


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