تقرير
Equi-isoclinic subspaces from symmetry
العنوان: | Equi-isoclinic subspaces from symmetry |
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المؤلفون: | Fickus, Matthew, Iverson, Joseph W., Jasper, John, Mixon, Dustin G. |
سنة النشر: | 2024 |
المجموعة: | Computer Science Mathematics |
مصطلحات موضوعية: | Mathematics - Combinatorics, Computer Science - Information Theory, Mathematics - Functional Analysis, Mathematics - Group Theory |
الوصف: | We describe a flexible technique that constructs tight fusion frames with prescribed transitive symmetry. Applying this technique with representations of the symmetric and alternating groups, we obtain several new infinite families of equi-isoclinic tight fusion frames, each with the remarkable property that its automorphism group is either $S_n$ or $A_n$. These ensembles are optimal packings for Grassmannian space equipped with spectral distance, and as such, they find applications in block compressed sensing. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2406.19542 |
رقم الأكسشن: | edsarx.2406.19542 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |