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

Autor: A. D. Adeshola, S. O. Oladejo, A. O. Abdulkareem, G. R. Ibrahim
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: African Scientific Reports, Pp 96-96 (2023)
Druh dokumentu: article
ISSN: 2955-1625
2955-1617
DOI: 10.46481/asr.2023.2.1.96
Popis: 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.
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