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A set of vectors of equal norm in $\mathbb{C}^d$ represents equiangular lines if the magnitudes of the Hermitian inner product of every pair of distinct vectors in the set are equal.
Equilateral point-sets in elliptic two- and three-dimensional spaces
J. Haantjes · 1948
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The Theory of Groups and Quantum Mechanics
H. Weyl · 1950
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Bounds for systems of lines, and Jacobi polynomials
P. Delsarte, J. M. Goethals, and J. J. Seidel · 1975
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Two quaternionic 4 4 -polytopes
S. G. Hoggar · 1981
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t t -designs in projective spaces
S. G. Hoggar · 1982
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Finite Geometry and Character Theory
A. Pott · 1995
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64 64 lines from a quaternionic polytope
S. G. Hoggar · 1998
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Cubature formulas on spheres
H. König · 1999
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Quantendesigns: Grundzüge einer nichtkommutativen Designtheorie
G. Zauner · 1999
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Large equiangular sets of lines in Euclidean space
D. de Caen · 2000
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A new proof for the existence of mutually unbiased bases
S. Bandyopadhyay, P. O. Boykin, V. Roychowdhury, and F. Vatan · 2002
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On SIC-POVMs and MUBs in dimension 6
M. Grassl · 2004
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Symmetric informationally complete quantum measurements
J. M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves · 2004
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Symmetric informationally complete-positive operator valued measures and the extended Clifford group
D. M. Appleby · 2005
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Tomography of quantum states in small dimensions
M. Grassl · 2005
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Complex Lines with Restricted Angles
A. Roy · 2005
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Finding equiangular lines in complex space, July 2006
M. Grassl · 2006
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Quantum measurements and finite geometry
W. K. Wootters · 2006
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Equiangular lines, mutually unbiased bases, and spin models
C. Godsil and A. Roy · 2009
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From SICs and MUBs to Eddington
I. Bengtsson · 2010
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Symmetric informationally complete positive-operator-valued measures: a new computer study
A. J. Scott and M. Grassl · 2010
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SIC-POVMs, theta functions and squeezed states
M. Appleby · 2011
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The monomial representations of the Clifford group
D. M. Appleby, I. Bengtsson, S. Brierley, M. Grassl, D. Gross, and J.-Å. Larsson · 2012
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A Kochen-Specker inequality from a SIC
I. Bengtsson, K. Blanchfield, and A. Cabello · 2012
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I. Bengtsson · 2007
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Welch bounds and quantum state tomography
A. Belovs · 2008
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Computing equiangular lines in complex space
M. Grassl · 2008
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On Weyl-Heisenberg orbits of equiangular lines
M. Khatirinejad · 2008
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SIC-POVMS and MUBS: Geometrical relationships in prime dimension
D. M. Appleby · 2009
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Quantum geometry: MUB’s and SIC-POVM’s, December 2009
C. Godsil · 2009
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Operational link between mutually unbiased bases and symmetric informationally complete positive operator-valued measures
R. Beneduci, T. J. Bullock, P. Busch, C. Carmeli, T. Heinosaari, and A. Toigo · 2013
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Constructions of complex equiangular lines
A. Wiebe · 2013
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Systems of imprimitivity for the Clifford group
D. M. Appleby, I. Bengtsson, S. Brierley, Å. Ericsson, M. Grassl, and J.-Å. Larsson · 2014
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On two ways to look for mutually unbiased bases
M. R. Kibler · 2014
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A simple construction of complex equiangular lines
J. Jedwab and A. Wiebe · 2015
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