An analytic function approach to weak mutually unbiased bases

Olupitan, Tominiyi E.; Lei, Ci; Vourdas, Apostolos

dc.contributor.author	Olupitan, Tominiyi E.	*
dc.contributor.author	Lei, Ci	*
dc.contributor.author	Vourdas, Apostolos	*
dc.date.accessioned	2016-04-12T09:37:23Z
dc.date.available	2016-04-12T09:37:23Z
dc.date.issued	2016
dc.identifier.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.	en_US
dc.identifier.uri	http://hdl.handle.net/10454/8121
dc.description	yes	en_US
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.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/	en_US
dc.subject	Finite quantum systems; Mutually unbiased bases; Analytic representations	en_US
dc.title	An analytic function approach to weak mutually unbiased bases	en_US
dc.status.refereed	yes	en_US
dc.date.Accepted	2016-04-01
dc.date.application	2016-04-06
dc.type	Article	en_US
dc.date.EndofEmbargo	2017-06-01
dc.type.version	Accepted Manuscript	en_US
dc.description.publicnotes	The full text will be available 12 months after publication
dc.identifier.doi	https://doi.org/10.1016/j.aop.2016.04.001
refterms.dateFOA	2018-07-25T15:16:19Z