Yes / A quantum system (n) with variables in Z(n), where n = Qpi (with pi prime numbers), is
considered. The non-near-linear geometry G(n) of the phase space Z(n) × Z(n), is studied. The
lines through the origin are factorized in terms of ‘prime factor lines’ in Z(pi)×Z(pi). Weak mutually
unbiased bases (WMUB) which are products of the mutually unbiased bases in the ‘prime factor
Hilbert spaces’ H(pi), are also considered. The factorization of both lines and WMUB is analogous
to the factorization of integers in terms of prime numbers. The duality between lines and WMUB is
discussed. It is shown that there is a partial order in the set of subgeometries of G(n), isomorphic
to the partial order in the set of subsystems of (n).
| Identifer | oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/9829 |
| Date | 16 October 2014 |
| Creators | Oladejo, S.O., Lei, Ci, Vourdas, Apostolos |
| Source Sets | Bradford Scholars |
| Language | English |
| Detected Language | English |
| Type | Article, Accepted Manuscript |
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