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For a collection of $N$ unit vectors $\mathbf{X}=\{x_i\}_{i=1}^N$, define the $p$-frame energy of $\mathbf{X}$ as the quantity $\sum_{i\neq j} |\langle x_i,x_j \rangle|^p$.
Universal optimal configurations for the p p -frame potentials
X. Chen, V. Gonzales, E. Goodman, S. Kang and K. A. Okoudjou · 1902
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Frame potentials and orthogonal vectors
J. Park · 1902
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Moments of isotropic measures and optimal projective codes
A. Glazyrin · 1904
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The minimizers of the p-frame potential
Z. Xu and Z. Xu · 1907
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Optimal measures for p-frame energies on spheres
D. Bilyk, A. Glazyrin, R. Matzke, J. Park, and O. Vlasiuk · 1908
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Energy on spheres and discreteness of minimizing measures
D. Bilyk, A. Glazyrin, R. Matzke, J. Park, and O. Vlasiuk · 1908
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Positive definite functions on spheres
I. J. Schoenberg · 1941
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Uber eine Punktverteilung auf der Kuge
L. Fejes Tóth · 1959
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Equiangular lines
P. W. H. Lemmens and J. J. Seidel · 1973
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New estimates for the closest packing of spheres in n n -dimensional Euclidean space
V. M. Sidel’nikov · 1974
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Lower bounds on the maximum cross correlation of signals
L. Welch · 1974
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Bounds of the maximal capacity of a code with a limited scalar product modulus
V. Levensthein · 1982
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Inequalities
G. H. Hardy, J. E. Littlewood and, G. Pólya · 1988
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Réseaux et designs sphériques
B. Venkov · 2001
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Frame quantization theory and equiangular tight frames
O. Oktay · 2007
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Every Hilbert space frame has a Naimark complement
P. G. Casazza, M. Fickus, D. G. Mixon, J. Peterson, and I. Smalyanau · 2013
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Stable recovery of sparse signals via ℓ p \ell_{p} -minimization
J. Wen, D. Li, and F. Zhu · 2015
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Optimal simplices and codes in projective spaces
H. Cohn, A. Kumar, and G. Minton · 2016
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On the angle sum of lines
F. Fodor, V. Vígh, and T. Zarnócz · 2016
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The SIC Question: History and State of Play
C. A. Fuchs, M. C. Hoang, B. C. Stacey · 2017
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G. Zauner · 2011
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Minimization of the probabilistic p-frame potential
M. Ehler and K. A. Okoudjou · 2012
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The minimum of a sum of absolute values of inner products in ℝ d \mathbb{R}^{d}
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Upper bounds for s s -distance sets and equiangular lines
A. Glazyrin and W.-H. Yu · 2018
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On the Fejes Tóth problem about the sum of angles between lines
D. Bilyk and R. Matzke · 2019
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B. Bukh and C. Cox · 2020
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