Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases
Keywords:
Non-near-linear Finite geometry, Partial ordering, FactorizationAbstract
A phase-space factorization of lines in finite geometry G(m) with variables in Zm and its correspondence in finite Hilbert space H(m) for m a non-prime was discussed. Using the method of Good [15], lines in G(m) were factorized as products of lines G(mi) where mi is a prime divisor of m. A lattice was formed between the non trivial sublines of G(m) and lines of G(mi) and between a subspace of H(m) and bases of H(mi) and existence of a link between lines in phase space finite geometry and bases in Hilbert space of finite quantum systems was discussed.
![](https://asr.nsps.org.ng/public/journals/1/submission_96_96_coverImage_en_US.png)
Published
How to Cite
Issue
Section
Copyright (c) 2023 A. D. Adeshola, S. O. Oladejo, A. O. Abdulkareem, G. R. Ibrahim
![Creative Commons License](http://i.creativecommons.org/l/by/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution 4.0 International License.