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    Coherent spaces, Boolean rings and quantum gates

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    annals_of_physics_2016.pdf (443.0Kb)
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    Publication date
    2016-10
    Author
    Vourdas, Apostolos
    Keyword
    Coherence; Boolean rings; Gates
    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/).
    Peer-Reviewed
    Yes
    
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    Abstract
    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.
    URI
    http://hdl.handle.net/10454/8775
    Version
    Accepted Manuscript
    Citation
    Vourdas A (2016) Coherent spaces, Boolean rings and quantum gates. Annals of Physics. 373: 557-580.
    Link to publisher’s version
    http://dx.doi.org/10.1016/j.aop.2016.07.034
    Type
    Article
    Collections
    Engineering and Informatics Publications

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