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    An analytic function approach to weak mutually unbiased bases

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    Publication date
    2016
    End of Embargo
    2017-06-01
    Author
    Olupitan, Tominiyi E.
    Lei, Ci
    Vourdas, Apostolos
    Keyword
    Finite quantum systems; Mutually unbiased bases; Analytic representations
    Rights
    © 2016 Elsevier. 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
    Quantum systems with variables in Z(d) are considered, and three different structures are studied. The first is weak mutually unbiased bases, ... The second is maximal lines through the origin in the Z(d)×Z(d) phase space. The third is an analytic representation in the complex plane based on Theta functions, and their zeros. It is shown that there is a correspondence (triality) that links strongly these three apparently different structures. For simplicity, the case where d=p1×p2, where p1,p2 are odd prime numbers different from each other, is considered.
    URI
    http://hdl.handle.net/10454/8121
    Version
    Accepted Manuscript
    Citation
    Olupitan T, Lei C and Vourdas A (2016) An analytic function approach to weak mutually unbiased bases. Annals of Physics. Accepted for publication April 2016.
    Link to publisher’s version
    http://dx.doi.org/10.1016/j.aop.2016.04.001
    Type
    Article
    Notes
    The full text will be available 12 months after publication
    Collections
    Engineering and Informatics Publications

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