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An analytic function approach to weak mutually unbiased bases
Olupitan, Tominiyi E. Lei, Ci
Olupitan, Tominiyi E.
Lei, Ci
Publication Date
2016
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© 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/
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yes
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Accepted for publication
2016-04-01
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Embargo end date
2017-06-01
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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.
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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.
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The full text will be available 12 months after publication