Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases
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Date
2023-04-29
Journal Title
Journal ISSN
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Publisher
Nigerian Society of Physical Sciences.
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.
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Citation
https://asr.nsps.org.ng/index.php/asr/article/view/96