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

https://doi.org/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 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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Published

2023-04-29

How to Cite

Adeshola, A. D., Oladejo, S. O., Abdulkareem, A. O., & Ibrahim, G. R. (2023). Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases. African Scientific Reports, 2(1), 96. https://doi.org/10.46481/asr.2023.2.1.96

Issue

Volume 2, Issue 1, April 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2023 A. D. Adeshola, S. O. Oladejo, A. O. Abdulkareem, G. R. Ibrahim

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