Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases
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...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Nigerian Society of Physical Sciences
2023-04-01
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| Series: | African Scientific Reports |
| Subjects: | |
| Online Access: | https://asr.nsps.org.ng/index.php/asr/article/view/96 |
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| Summary: | 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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| ISSN: | 2955-1625 2955-1617 |