(Nigerian Society of Physical Sciences., 2023-04-29) A. D. Adeshola, S. O. Oladejo, A. O. Abdulkareemc, G. R. Ibrahim
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.