Browsing by Author "A. D. Adesholaa"

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    Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases
    (Nigeria Society of Physical Sciences, 2023) A. D. Adesholaa; , S. O. Oladejo; , A. O. Abdulkareem; Ibrahim, G.R.
    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.