Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases

A. D. Adeshola; S. O. Oladejo; A. O. Abdulkareem; G. R. Ibrahim

doi:10.46481/asr.2023.2.1.96

Authors

A. D. Adeshola Department of Mathematics, Faculty of Science, Gombe State University, Nigeria
S. O. Oladejo Department of Statistics and Mathematical Sciences, College of Pure and Applied Science, Kwara State University, Malete, P.M.B. 1530, Ilorin, Nigeria
A. O. Abdulkareem
[email protected]
Department of Mathematics, Faculty of Science, Lagos State University, Ojo, Nigeria
G. R. Ibrahim Department of Statistics and Mathematical Sciences, College of Pure and Applied Science, Kwara State University, Malete, P.M.B. 1530, Ilorin, Nigeria

Keywords:

Non-near-linear Finite geometry, Partial ordering, Factorization

Abstract

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.

Dimensions

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