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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| Format: | Article |
| Language: | English |
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Nigerian Society of Physical Sciences
2023-04-01
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| Series: | African Scientific Reports |
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| Online Access: | https://asr.nsps.org.ng/index.php/asr/article/view/96 |
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| author | A. D. Adeshola S. O. Oladejo A. O. Abdulkareem G. R. Ibrahim |
| author_facet | A. D. Adeshola S. O. Oladejo A. O. Abdulkareem G. R. Ibrahim |
| author_sort | A. D. Adeshola |
| collection | DOAJ |
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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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| format | Article |
| id | doaj-art-363014ec7b064220ac6e4ac48e991db2 |
| institution | Kabale University |
| issn | 2955-1625 2955-1617 |
| language | English |
| publishDate | 2023-04-01 |
| publisher | Nigerian Society of Physical Sciences |
| record_format | Article |
| series | African Scientific Reports |
| spelling | doaj-art-363014ec7b064220ac6e4ac48e991db22025-08-20T03:31:34ZengNigerian Society of Physical SciencesAfrican Scientific Reports2955-16252955-16172023-04-012110.46481/asr.2023.2.1.9696Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased BasesA. D. AdesholaS. O. OladejoA. O. AbdulkareemG. R. Ibrahim 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. https://asr.nsps.org.ng/index.php/asr/article/view/96Non-near-linear Finite geometry, Partial ordering, Factorization |
| spellingShingle | A. D. Adeshola S. O. Oladejo A. O. Abdulkareem G. R. Ibrahim Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases African Scientific Reports Non-near-linear Finite geometry, Partial ordering, Factorization |
| title | Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases |
| title_full | Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases |
| title_fullStr | Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases |
| title_full_unstemmed | Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases |
| title_short | Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases |
| title_sort | factorization in phase space finite geometry and weak mutually unbiased bases |
| topic | Non-near-linear Finite geometry, Partial ordering, Factorization |
| url | https://asr.nsps.org.ng/index.php/asr/article/view/96 |
| work_keys_str_mv | AT adadeshola factorizationinphasespacefinitegeometryandweakmutuallyunbiasedbases AT sooladejo factorizationinphasespacefinitegeometryandweakmutuallyunbiasedbases AT aoabdulkareem factorizationinphasespacefinitegeometryandweakmutuallyunbiasedbases AT gribrahim factorizationinphasespacefinitegeometryandweakmutuallyunbiasedbases |