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• W2950252550 abstract "The construction of optimal line packings in real or complex Euclidean spaces has shown to be a tantalizingly difficult task, because it includes the problem of finding maximal sets of equiangular lines. In the regime where equiangular lines are not possible, some optimal packings are known, for example, those achieving the orthoplex bound related to maximal sets of mutually unbiased bases. In this paper, we investigate the packing of subspaces instead of lines and determine the implications of maximality in this context. We leverage the existence of real or complex maximal mutually unbiased bases with a combinatorial design strategy in order to find optimal subspace packings that achieve the orthoplex bound. We also show that maximal sets of mutually unbiased bases convert between coordinate projections associated with certain balanced incomplete block designs and Grassmannian 2-designs. Examples of maximal orthoplectic fusion frames already appeared in the works by Shor, Sloane and by Zauner. They are realized in dimensions that are a power of four in the real case or a power of two in the complex case." @default.
• W2950252550 created "2019-06-27" @default.
• W2950252550 creator A5004929448 @default.
• W2950252550 creator A5051535966 @default.
• W2950252550 date "2016-07-15" @default.
• W2950252550 modified "2023-09-27" @default.
• W2950252550 title "Maximal Orthoplectic Fusion Frames from Mutually Unbiased Bases and Block Designs" @default.
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• W2950252550 hasPublicationYear "2016" @default.
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