On Weyl-Heisenberg orbits of equiangular lines

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Quantum-Bayesian Coherence (2009, background): “ 8i = √1 2 0 1 ω , |ψ 9i = 1 √ 2 ω 0 1 . (24) One can check by quick inspection that this set of vectors satisﬁes Eq. (20). Do SICs exist for every ﬁnite dimension d? Despite much eﬀort [60, 61, 62, 63, 64, 65, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98], no one pre”
Steiner equiangular tight frames (2010, background): “In the complex setting, much attention has focused on the maximal case of M(2) vectors in HM [2, 15, 18, 21, 23].”
Construction, classification and parametrization of complex Hadamard matrices (2011, background): “These type of frames are equivalent to SICPOVMs [82], [122], and have many interesting applications in quantum information”
Geometry of Quantum States: Index (2007, background): “In prime dimensions it is known that the Bloch vector of a SIC projector, when projected onto any one of the MUB eigenvalue simplices, has the same length for all the N + 1 simplices defined by a complete set of MUB [44, 523].”